Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
100048a |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
7726601389312 = 28 · 138 · 37 |
Discriminant |
Eigenvalues |
2+ 1 0 3 -5 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66473,-6617389] |
[a1,a2,a3,a4,a6] |
Generators |
[-49503527314:9624884113:334255384] |
Generators of the group modulo torsion |
j |
26288512000/6253 |
j-invariant |
L |
8.4405741550806 |
L(r)(E,1)/r! |
Ω |
0.2973335317042 |
Real period |
R |
14.193781149914 |
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 |
50024b1 7696a1 |
Quadratic twists by: -4 13 |