Atkin-Lehner |
3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42435b |
Isogeny class |
Conductor |
42435 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-95943557741175 = -1 · 310 · 52 · 23 · 414 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3690,-464225] |
[a1,a2,a3,a4,a6] |
Generators |
[1510:20305:8] |
Generators of the group modulo torsion |
j |
7620949383839/131609818575 |
j-invariant |
L |
4.5328294492945 |
L(r)(E,1)/r! |
Ω |
0.29267691380119 |
Real period |
R |
3.8718713669816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14145a1 |
Quadratic twists by: -3 |