Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690u |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-4295617920 = -1 · 27 · 39 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,3187] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-58:1] |
Generators of the group modulo torsion |
j |
-3176523/218240 |
j-invariant |
L |
8.307524924406 |
L(r)(E,1)/r! |
Ω |
1.1416466229019 |
Real period |
R |
0.51977085163995 |
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 |
30690c1 |
Quadratic twists by: -3 |