Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464bg |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
-531932076048384 = -1 · 220 · 310 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18861,-487150] |
[a1,a2,a3,a4,a6] |
j |
248502281903/178142976 |
j-invariant |
L |
2.3428415573637 |
L(r)(E,1)/r! |
Ω |
0.2928552700343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14058c1 37488o1 |
Quadratic twists by: -4 -3 |