Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800cx |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
78156660736000 = 226 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12115,287250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:330:1] |
Generators of the group modulo torsion |
j |
384082046109/152649728 |
j-invariant |
L |
5.2575771046296 |
L(r)(E,1)/r! |
Ω |
0.55498798040592 |
Real period |
R |
1.5788861771938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850h1 123200hk1 30800ci1 |
Quadratic twists by: -4 8 5 |