Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075y |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1800960 |
Modular degree for the optimal curve |
Δ |
391314627540703125 = 310 · 57 · 77 · 103 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 -3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6829383,6867082019] |
[a1,a2,a3,a4,a6] |
Generators |
[12234:-11029:8] [-1227:115762:1] |
Generators of the group modulo torsion |
j |
2254489189566314807296/25044136162605 |
j-invariant |
L |
9.569285379234 |
L(r)(E,1)/r! |
Ω |
0.27223525164035 |
Real period |
R |
0.12553855169609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10815c1 |
Quadratic twists by: 5 |