Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650bz |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
187488 |
Modular degree for the optimal curve |
Δ |
394600628450 = 2 · 52 · 78 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -4 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12398,-531518] |
[a1,a2,a3,a4,a6] |
Generators |
[-4076:3815:64] |
Generators of the group modulo torsion |
j |
1462367305/2738 |
j-invariant |
L |
5.5404428282761 |
L(r)(E,1)/r! |
Ω |
0.4524913798215 |
Real period |
R |
6.1221529086102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650t1 90650cr1 |
Quadratic twists by: 5 -7 |