Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650g |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
14553000000 = 26 · 33 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-642,2516] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:94:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
4.563830055643 |
L(r)(E,1)/r! |
Ω |
1.107309728117 |
Real period |
R |
1.0303869684691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650cp1 1386f1 |
Quadratic twists by: -3 5 |