Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21105d |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11424 |
Modular degree for the optimal curve |
Δ |
-5612304915 = -1 · 36 · 5 · 73 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 5 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2358,44219] |
[a1,a2,a3,a4,a6] |
Generators |
[7:167:1] |
Generators of the group modulo torsion |
j |
-1988967038976/7698635 |
j-invariant |
L |
4.0803738718652 |
L(r)(E,1)/r! |
Ω |
1.3588573239624 |
Real period |
R |
1.5013989327323 |
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 |
2345b1 105525t1 |
Quadratic twists by: -3 5 |