Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600cb |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
60229980000000000 = 211 · 311 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-406875,99193750] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:13284:1] |
Generators of the group modulo torsion |
j |
510915650/4131 |
j-invariant |
L |
5.8371079069561 |
L(r)(E,1)/r! |
Ω |
0.35275351188431 |
Real period |
R |
4.1368177142843 |
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 |
61200bh1 10200s1 30600bg1 |
Quadratic twists by: -4 -3 5 |