Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gq |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-203513856000000 = -1 · 219 · 3 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13537,-316219] |
[a1,a2,a3,a4,a6] |
Generators |
[59:802:1] |
Generators of the group modulo torsion |
j |
358321516679/265814016 |
j-invariant |
L |
7.8011091403536 |
L(r)(E,1)/r! |
Ω |
0.31586408385023 |
Real period |
R |
0.64993886952479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822n1 95550jc1 |
Quadratic twists by: 5 -7 |