Atkin-Lehner |
5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38425h |
Isogeny class |
Conductor |
38425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
17411328125 = 58 · 292 · 53 |
Discriminant |
Eigenvalues |
0 0 5- 1 -3 2 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1250,15781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:130:1] [50:721:8] |
Generators of the group modulo torsion |
j |
552960000/44573 |
j-invariant |
L |
7.3908176696947 |
L(r)(E,1)/r! |
Ω |
1.2025563453075 |
Real period |
R |
1.0243203570093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38425b1 |
Quadratic twists by: 5 |