Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690g |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-100837176807720870 = -1 · 2 · 37 · 5 · 115 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69615,16851915] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:4449:1] |
Generators of the group modulo torsion |
j |
-51180930268781041/138322601931030 |
j-invariant |
L |
4.2317123014762 |
L(r)(E,1)/r! |
Ω |
0.29664419616771 |
Real period |
R |
0.71326396338524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230bh2 |
Quadratic twists by: -3 |