Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690c |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-5892480 = -1 · 27 · 33 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-115] |
[a1,a2,a3,a4,a6] |
j |
-3176523/218240 |
j-invariant |
L |
2.1102932451208 |
L(r)(E,1)/r! |
Ω |
1.0551466225601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30690u1 |
Quadratic twists by: -3 |