Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400p |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
23625000000 = 26 · 33 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1125,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:144:1] |
Generators of the group modulo torsion |
j |
46656/7 |
j-invariant |
L |
7.0228331907113 |
L(r)(E,1)/r! |
Ω |
1.1503286511553 |
Real period |
R |
3.0525333710687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cq1 100800cn1 50400ct1 50400cp1 |
Quadratic twists by: -4 8 -3 5 |