Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270j |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-271249682604740 = -1 · 22 · 5 · 711 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 2 6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10363,889498] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:982:1] |
Generators of the group modulo torsion |
j |
-17941516933339/39546534860 |
j-invariant |
L |
5.3776602789432 |
L(r)(E,1)/r! |
Ω |
0.48876079359532 |
Real period |
R |
0.25006005677157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cc1 25270x1 |
Quadratic twists by: 5 -19 |