Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840bd |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171,-755] |
[a1,a2,a3,a4,a6] |
Generators |
[28:125:1] |
Generators of the group modulo torsion |
j |
8690991616/578125 |
j-invariant |
L |
3.0344003316192 |
L(r)(E,1)/r! |
Ω |
1.3251054197069 |
Real period |
R |
1.144965633108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840bb1 5920l1 106560gc1 59200ca1 |
Quadratic twists by: -4 8 -3 5 |