Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70805v |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
660960 |
Modular degree for the optimal curve |
Δ |
102586360897026125 = 53 · 76 · 178 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-160491,19417222] |
[a1,a2,a3,a4,a6] |
Generators |
[1092124:27902507:1331] |
Generators of the group modulo torsion |
j |
557056/125 |
j-invariant |
L |
6.1113199530642 |
L(r)(E,1)/r! |
Ω |
0.31646171387675 |
Real period |
R |
9.6557019133225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1445e1 70805be1 |
Quadratic twists by: -7 17 |