Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104d |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-347678018959408128 = -1 · 210 · 39 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,158949,14487066] |
[a1,a2,a3,a4,a6] |
Generators |
[60465:2908178:27] |
Generators of the group modulo torsion |
j |
37044/29 |
j-invariant |
L |
7.9542484682473 |
L(r)(E,1)/r! |
Ω |
0.19486460672727 |
Real period |
R |
5.1024199572281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60552b1 121104c1 4176b1 |
Quadratic twists by: -4 -3 29 |