Atkin-Lehner |
2+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79054a |
Isogeny class |
Conductor |
79054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9831360 |
Modular degree for the optimal curve |
Δ |
103775255874944 = 27 · 297 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -3 -4 0 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252593246,-1545122675052] |
[a1,a2,a3,a4,a6] |
Generators |
[-443588388582842481:221807488539832052:48343907381589] |
Generators of the group modulo torsion |
j |
2996407859142189227553/174464 |
j-invariant |
L |
2.8873236693939 |
L(r)(E,1)/r! |
Ω |
0.037869896756136 |
Real period |
R |
19.060810278854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726e1 |
Quadratic twists by: 29 |