Atkin-Lehner |
3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
45423c |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
620928 |
Modular degree for the optimal curve |
Δ |
1.0043204492755E+19 |
Discriminant |
Eigenvalues |
1 3- -1 7+ -4 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1127205,-434381508] |
[a1,a2,a3,a4,a6] |
Generators |
[13542:393693:8] |
Generators of the group modulo torsion |
j |
37689536795281/2389793949 |
j-invariant |
L |
5.3224266126169 |
L(r)(E,1)/r! |
Ω |
0.14710305293458 |
Real period |
R |
3.0151349153004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15141i1 45423f1 |
Quadratic twists by: -3 -7 |