Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920el |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-9.6152198500648E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14205792,25441788976] |
[a1,a2,a3,a4,a6] |
Generators |
[-2023:214245:1] |
Generators of the group modulo torsion |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
6.3231707057097 |
L(r)(E,1)/r! |
Ω |
0.10105757397728 |
Real period |
R |
1.564249575791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7245r1 38640ck1 |
Quadratic twists by: -4 -3 |