Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120w |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-4.223668150359E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3564213,9542650934] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:97650:1] |
Generators of the group modulo torsion |
j |
6707909224953927644/56579916708984375 |
j-invariant |
L |
7.0856145491463 |
L(r)(E,1)/r! |
Ω |
0.08359728268661 |
Real period |
R |
0.70632424875848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040n1 |
Quadratic twists by: -3 |