Atkin-Lehner |
2- 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95312p |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-24685808 = -1 · 24 · 72 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 0 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2170,-39641] |
[a1,a2,a3,a4,a6] |
j |
-70661532372736/1542863 |
j-invariant |
L |
1.3989345875503 |
L(r)(E,1)/r! |
Ω |
0.34973361736679 |
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 |
23828a1 |
Quadratic twists by: -4 |