Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800h |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254976 |
Modular degree for the optimal curve |
Δ |
-235340000000 = -1 · 28 · 57 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 3 5 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1300,29500] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1025:1] |
Generators of the group modulo torsion |
j |
-60742656/58835 |
j-invariant |
L |
4.7063102475338 |
L(r)(E,1)/r! |
Ω |
0.90309068232867 |
Real period |
R |
1.3028343483347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400g1 22960g1 |
Quadratic twists by: -4 5 |