Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600g |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-62004635000000 = -1 · 26 · 57 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9925,537000] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:858:1] [1:726:1] |
Generators of the group modulo torsion |
j |
-108122295744/62004635 |
j-invariant |
L |
9.9000206533738 |
L(r)(E,1)/r! |
Ω |
0.57753185775531 |
Real period |
R |
2.8569912119506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600j1 123200eb2 12320l1 |
Quadratic twists by: -4 8 5 |