Atkin-Lehner |
2- 3- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504p |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6994944 |
Modular degree for the optimal curve |
Δ |
-8821820941664256 = -1 · 223 · 39 · 232 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 0 2 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156379160,-752742616428] |
[a1,a2,a3,a4,a6] |
Generators |
[19224612:60123702:1331] |
Generators of the group modulo torsion |
j |
-103252456971064214794655641/2153764878336 |
j-invariant |
L |
9.6199475340057 |
L(r)(E,1)/r! |
Ω |
0.021346409662696 |
Real period |
R |
12.518300176196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13938a1 |
Quadratic twists by: -4 |