Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440cd |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-127154104560 = -1 · 24 · 37 · 5 · 7 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1257,-313] |
[a1,a2,a3,a4,a6] |
Generators |
[49:423:1] [97:1017:1] |
Generators of the group modulo torsion |
j |
18831375104/10901415 |
j-invariant |
L |
10.320298863143 |
L(r)(E,1)/r! |
Ω |
0.62125067122193 |
Real period |
R |
0.69217221426169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480f1 |
Quadratic twists by: -3 |