Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760fd |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
-59386162500000000 = -1 · 28 · 36 · 511 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97353,-880686] |
[a1,a2,a3,a4,a6] |
Generators |
[118:3500:1] |
Generators of the group modulo torsion |
j |
546769443677616/318212890625 |
j-invariant |
L |
7.6634252996979 |
L(r)(E,1)/r! |
Ω |
0.20776358963273 |
Real period |
R |
1.1177367958354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23940q1 10640q1 |
Quadratic twists by: -4 -3 |