Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650bb |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
2970419200000000 = 222 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36951,770298] |
[a1,a2,a3,a4,a6] |
Generators |
[558:12129:1] |
Generators of the group modulo torsion |
j |
291493778905/155189248 |
j-invariant |
L |
5.0937059214632 |
L(r)(E,1)/r! |
Ω |
0.39497016165459 |
Real period |
R |
6.4482161115486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650cn1 90650q1 |
Quadratic twists by: 5 -7 |