Atkin-Lehner |
3- 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015h |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
1705580814981628125 = 37 · 55 · 233 · 295 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -4 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5489922,-4950651983] |
[a1,a2,a3,a4,a6] |
Generators |
[-1343:112:1] |
Generators of the group modulo torsion |
j |
25101212833837967048704/2339617030153125 |
j-invariant |
L |
4.6196793248573 |
L(r)(E,1)/r! |
Ω |
0.098630319521744 |
Real period |
R |
2.3419164346511 |
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 |
10005b1 |
Quadratic twists by: -3 |