Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34100b |
Isogeny class |
Conductor |
34100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-937750000 = -1 · 24 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,242,-363] |
[a1,a2,a3,a4,a6] |
Generators |
[132:759:64] |
Generators of the group modulo torsion |
j |
6243584/3751 |
j-invariant |
L |
7.9435198537969 |
L(r)(E,1)/r! |
Ω |
0.91413705665023 |
Real period |
R |
4.3448188627779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1364a1 |
Quadratic twists by: 5 |