Atkin-Lehner |
5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38425b |
Isogeny class |
Conductor |
38425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1114325 = 52 · 292 · 53 |
Discriminant |
Eigenvalues |
0 0 5+ -1 -3 -2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-50,126] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] [6:6:1] |
Generators of the group modulo torsion |
j |
552960000/44573 |
j-invariant |
L |
6.841851913656 |
L(r)(E,1)/r! |
Ω |
2.6889977348813 |
Real period |
R |
1.272193692264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38425h1 |
Quadratic twists by: 5 |