Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430i |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
5.6402590983782E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33972975,-76199350739] |
[a1,a2,a3,a4,a6] |
Generators |
[-155450036052188503120:103831673225315571257:45808929120858112] |
Generators of the group modulo torsion |
j |
5948355686436823421487601/773698093056000000 |
j-invariant |
L |
3.8922278312608 |
L(r)(E,1)/r! |
Ω |
0.062534480852012 |
Real period |
R |
31.120653583685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810n1 |
Quadratic twists by: -3 |