Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800t |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-1168750000 = -1 · 24 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,250,-625] |
[a1,a2,a3,a4,a6] |
Generators |
[50:275:8] |
Generators of the group modulo torsion |
j |
276480/187 |
j-invariant |
L |
5.7077451507583 |
L(r)(E,1)/r! |
Ω |
0.87469992662063 |
Real period |
R |
2.1751250444514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400f1 74800m1 |
Quadratic twists by: -4 5 |