Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cn |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
3983616 |
Modular degree for the optimal curve |
Δ |
6393867063187968 = 29 · 37 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24475312,46597696172] |
[a1,a2,a3,a4,a6] |
Generators |
[22762:7929:8] |
Generators of the group modulo torsion |
j |
3882322961655944/15309 |
j-invariant |
L |
9.2702633197045 |
L(r)(E,1)/r! |
Ω |
0.28367171794494 |
Real period |
R |
4.668506723946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568bz1 113568bq1 |
Quadratic twists by: -4 13 |