Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015c |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
51026522761125 = 37 · 53 · 235 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11748,-349416] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:103:1] |
Generators of the group modulo torsion |
j |
245973316796416/69995230125 |
j-invariant |
L |
4.323877017645 |
L(r)(E,1)/r! |
Ω |
0.46849365198143 |
Real period |
R |
0.92293182615341 |
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 |
10005n1 |
Quadratic twists by: -3 |