Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450g |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-2.809440703125E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2821375,-1780996875] |
[a1,a2,a3,a4,a6] |
Generators |
[334800077992535:-16086718226417730:290512126367] |
Generators of the group modulo torsion |
j |
158959279972730830319/179804205000000000 |
j-invariant |
L |
3.6707480790589 |
L(r)(E,1)/r! |
Ω |
0.077223081972754 |
Real period |
R |
23.767168994589 |
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 |
91350ei1 6090z1 |
Quadratic twists by: -3 5 |