Atkin-Lehner |
2+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520r |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-9940164935680000 = -1 · 232 · 54 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56972,-7099664] |
[a1,a2,a3,a4,a6] |
j |
-78013216986489/37918720000 |
j-invariant |
L |
1.2080808750977 |
L(r)(E,1)/r! |
Ω |
0.15101010934551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ck1 1610a1 |
Quadratic twists by: -4 8 |