Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800q |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
12320000 = 28 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,4300] |
[a1,a2,a3,a4,a6] |
Generators |
[9:23:1] |
Generators of the group modulo torsion |
j |
86400000/77 |
j-invariant |
L |
5.163963672248 |
L(r)(E,1)/r! |
Ω |
2.2384760567682 |
Real period |
R |
2.3069103896083 |
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 |
15400v1 123200gm1 30800k1 |
Quadratic twists by: -4 8 5 |