Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800m |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
59200000000 = 212 · 58 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 5 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2133,-35363] |
[a1,a2,a3,a4,a6] |
j |
16777216/925 |
j-invariant |
L |
1.4097902017347 |
L(r)(E,1)/r! |
Ω |
0.70489510086734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
925a1 59200cu1 2960m1 |
Quadratic twists by: -4 8 5 |