Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bn |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
11079664596 = 22 · 33 · 72 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 13- 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-754,6080] |
[a1,a2,a3,a4,a6] |
Generators |
[55:335:1] |
Generators of the group modulo torsion |
j |
965635947241/226115604 |
j-invariant |
L |
5.5058308301686 |
L(r)(E,1)/r! |
Ω |
1.202146539548 |
Real period |
R |
0.15266665776698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126fb1 42042d1 |
Quadratic twists by: -3 -7 |