Atkin-Lehner |
2- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76636d |
Isogeny class |
Conductor |
76636 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1472048576400752 = -1 · 24 · 712 · 172 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291958,-60650407] |
[a1,a2,a3,a4,a6] |
j |
-1462103500000000/782012903 |
j-invariant |
L |
1.2322721994515 |
L(r)(E,1)/r! |
Ω |
0.10268935067075 |
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 |
10948a1 |
Quadratic twists by: -7 |