Atkin-Lehner |
2- 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624s |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-148414464 = -1 · 213 · 33 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11+ 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9123,335394] |
[a1,a2,a3,a4,a6] |
Generators |
[57:24:1] [174:2004:1] |
Generators of the group modulo torsion |
j |
-759299343867/1342 |
j-invariant |
L |
11.379372838464 |
L(r)(E,1)/r! |
Ω |
1.5668990682662 |
Real period |
R |
0.90779402049641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078c1 96624z1 |
Quadratic twists by: -4 -3 |