Atkin-Lehner |
3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
102675j |
Isogeny class |
Conductor |
102675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-21369234375 = -1 · 33 · 56 · 373 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,212,-6844] |
[a1,a2,a3,a4,a6] |
j |
1331/27 |
j-invariant |
L |
1.1759581843128 |
L(r)(E,1)/r! |
Ω |
0.58797915918957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4107a1 102675i1 |
Quadratic twists by: 5 37 |