Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424o |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-11031539613696 = -1 · 224 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3137,-172479] |
[a1,a2,a3,a4,a6] |
j |
-13027640977/42081984 |
j-invariant |
L |
1.7633089543517 |
L(r)(E,1)/r! |
Ω |
0.29388483360009 |
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 |
95424cg1 2982k1 |
Quadratic twists by: -4 8 |