Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
88806i |
Isogeny class |
Conductor |
88806 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
73600 |
Modular degree for the optimal curve |
Δ |
11207139588 = 22 · 35 · 193 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-616,2882] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:89:1] |
Generators of the group modulo torsion |
j |
3760028875/1633932 |
j-invariant |
L |
7.1523149455796 |
L(r)(E,1)/r! |
Ω |
1.1504555365366 |
Real period |
R |
0.62169416493363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88806n1 |
Quadratic twists by: -19 |