Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850bw |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-15315216205781250 = -1 · 2 · 318 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11- 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75042,-9883634] |
[a1,a2,a3,a4,a6] |
Generators |
[629:13523:1] |
Generators of the group modulo torsion |
j |
-4102915888729/1344545730 |
j-invariant |
L |
4.0486350898868 |
L(r)(E,1)/r! |
Ω |
0.14186296272566 |
Real period |
R |
3.567382017441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950by1 22770bx1 |
Quadratic twists by: -3 5 |