Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232br |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-6436126900224 = -1 · 214 · 32 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6021,-219357] |
[a1,a2,a3,a4,a6] |
j |
-1473607361536/392830011 |
j-invariant |
L |
3.7417121852034 |
L(r)(E,1)/r! |
Ω |
0.26726515744311 |
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 |
71232cb1 8904e1 |
Quadratic twists by: -4 8 |