Atkin-Lehner |
2- 3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730s |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-78333366657024000 = -1 · 216 · 39 · 53 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79027,10382581] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-4480:1] |
Generators of the group modulo torsion |
j |
2773090600403157/3979747328000 |
j-invariant |
L |
6.0814371505387 |
L(r)(E,1)/r! |
Ω |
0.23252669543653 |
Real period |
R |
0.81730362439203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62730d1 |
Quadratic twists by: -3 |