Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432o |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5851542528 = 210 · 32 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2997,64053] |
[a1,a2,a3,a4,a6] |
Generators |
[36:39:1] |
Generators of the group modulo torsion |
j |
2908230909952/5714397 |
j-invariant |
L |
5.8159020921028 |
L(r)(E,1)/r! |
Ω |
1.3493865616169 |
Real period |
R |
0.7183390163515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432cp1 2652e1 127296bd1 |
Quadratic twists by: -4 8 -3 |