Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650m |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
396000 |
Modular degree for the optimal curve |
Δ |
1341620000000000 = 211 · 510 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27617,-115459] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1109:1] |
Generators of the group modulo torsion |
j |
4868172225/2803712 |
j-invariant |
L |
4.3499579479106 |
L(r)(E,1)/r! |
Ω |
0.40320919541965 |
Real period |
R |
5.3941700669839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650da1 90650a1 |
Quadratic twists by: 5 -7 |