Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60900bd |
Isogeny class |
Conductor |
60900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-134113218750000 = -1 · 24 · 36 · 59 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32333,-2316912] |
[a1,a2,a3,a4,a6] |
Generators |
[27242:1587663:8] |
Generators of the group modulo torsion |
j |
-119625875456/4291623 |
j-invariant |
L |
6.8226679120091 |
L(r)(E,1)/r! |
Ω |
0.17764076838694 |
Real period |
R |
6.4011844181496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60900m1 |
Quadratic twists by: 5 |