Atkin-Lehner |
2+ 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576t |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-295241270016 = -1 · 28 · 3 · 7 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1015,23331] |
[a1,a2,a3,a4,a6] |
j |
451288146944/1153286211 |
j-invariant |
L |
4.0798382691566 |
L(r)(E,1)/r! |
Ω |
0.67997304151646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57288k1 |
Quadratic twists by: -4 |