Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200cj |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
14625000000 = 26 · 32 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4958,-135912] |
[a1,a2,a3,a4,a6] |
Generators |
[3958:249000:1] |
Generators of the group modulo torsion |
j |
107850176/117 |
j-invariant |
L |
5.6712772935784 |
L(r)(E,1)/r! |
Ω |
0.56897595382994 |
Real period |
R |
4.9837583252889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200bt1 62400fr1 93600cn1 31200l1 |
Quadratic twists by: -4 8 -3 5 |