Atkin-Lehner |
2+ 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430q |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
4392960 |
Modular degree for the optimal curve |
Δ |
-1.589165706996E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -3 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2332281,19130097725] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:137842:1] |
Generators of the group modulo torsion |
j |
1924592114123259010191/217992552400000000000 |
j-invariant |
L |
4.1905260253718 |
L(r)(E,1)/r! |
Ω |
0.07859502586653 |
Real period |
R |
1.2117716967365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270e1 |
Quadratic twists by: -3 |