Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310a |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-913543142400 = -1 · 210 · 39 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-420,-46000] |
[a1,a2,a3,a4,a6] |
Generators |
[67:439:1] |
Generators of the group modulo torsion |
j |
-416832723/46412800 |
j-invariant |
L |
2.978584347442 |
L(r)(E,1)/r! |
Ω |
0.39212452997704 |
Real period |
R |
1.8990040916443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310bg1 116550dg1 |
Quadratic twists by: -3 5 |