Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568ca |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1864877893429824 = 26 · 36 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30814,-123176] |
[a1,a2,a3,a4,a6] |
Generators |
[-3020:97356:125] |
Generators of the group modulo torsion |
j |
10474708672/6036849 |
j-invariant |
L |
5.5864344539153 |
L(r)(E,1)/r! |
Ω |
0.39256924461849 |
Real period |
R |
7.1152217356722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017513 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113568cp1 8736d1 |
Quadratic twists by: -4 13 |