Atkin-Lehner |
2+ 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690h |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
946945105920000 = 216 · 37 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27675,-966875] |
[a1,a2,a3,a4,a6] |
Generators |
[275:-3625:1] |
Generators of the group modulo torsion |
j |
3215643533722801/1298964480000 |
j-invariant |
L |
3.6468136477919 |
L(r)(E,1)/r! |
Ω |
0.38338253295155 |
Real period |
R |
1.1890257557237 |
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 |
10230z1 |
Quadratic twists by: -3 |