Atkin-Lehner |
2+ 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350a |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1218560 |
Modular degree for the optimal curve |
Δ |
-120354564096000000 = -1 · 217 · 38 · 56 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,123225,-1132875] |
[a1,a2,a3,a4,a6] |
Generators |
[3981:250203:1] |
Generators of the group modulo torsion |
j |
13243252505373071/7702692102144 |
j-invariant |
L |
3.8030800620004 |
L(r)(E,1)/r! |
Ω |
0.19599399301757 |
Real period |
R |
4.8510161042007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4134g1 |
Quadratic twists by: 5 |