Atkin-Lehner |
2+ 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482k |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
456762615988224 = 216 · 3 · 78 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64656,6216960] |
[a1,a2,a3,a4,a6] |
Generators |
[601:13297:1] |
Generators of the group modulo torsion |
j |
254081161813753/3882418176 |
j-invariant |
L |
2.3494883539114 |
L(r)(E,1)/r! |
Ω |
0.52833485854181 |
Real period |
R |
4.4469682436904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926v1 |
Quadratic twists by: -7 |