Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756b |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
1.4990170383155E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1134368293,-14704984821470] |
[a1,a2,a3,a4,a6] |
Generators |
[1385400236357986422625876662991638971602300980149539794278:1250373102402243234514002811227137003960028047121065078631387:1697827970883783901514738991858620167245930292200632] |
Generators of the group modulo torsion |
j |
85758608686785445101568000/796339662000667533 |
j-invariant |
L |
4.3984646166685 |
L(r)(E,1)/r! |
Ω |
0.026014248043088 |
Real period |
R |
84.539530210199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024dj1 65268g1 3108g1 |
Quadratic twists by: -4 -3 -7 |