Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390r |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
12699180 = 22 · 36 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -2 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-3560] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:8:1] |
Generators of the group modulo torsion |
j |
13841287201/17420 |
j-invariant |
L |
5.1726750408074 |
L(r)(E,1)/r! |
Ω |
1.0365351111253 |
Real period |
R |
1.2475879944122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710n1 |
Quadratic twists by: -3 |