Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650be |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133920 |
Modular degree for the optimal curve |
Δ |
52407031250 = 2 · 58 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6326,192798] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-6:1] |
Generators of the group modulo torsion |
j |
1462367305/2738 |
j-invariant |
L |
2.8739855926589 |
L(r)(E,1)/r! |
Ω |
1.1236696367425 |
Real period |
R |
1.2788392147607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650cr1 90650t1 |
Quadratic twists by: 5 -7 |