Atkin-Lehner |
2+ 5- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350l |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
610560 |
Modular degree for the optimal curve |
Δ |
77830778125000 = 23 · 58 · 234 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 2 -7 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10867,102541] |
[a1,a2,a3,a4,a6] |
Generators |
[3:263:1] |
Generators of the group modulo torsion |
j |
363341628585/199246792 |
j-invariant |
L |
1.6268531196434 |
L(r)(E,1)/r! |
Ω |
0.53135256904787 |
Real period |
R |
1.5308602991138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350z1 |
Quadratic twists by: 5 |