Atkin-Lehner |
3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98397p |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3674880 |
Modular degree for the optimal curve |
Δ |
-1664033174726620347 = -1 · 39 · 132 · 298 |
Discriminant |
Eigenvalues |
-2 3+ 4 -3 2 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-658503,-214836604] |
[a1,a2,a3,a4,a6] |
Generators |
[12760810:1438516229:1000] |
Generators of the group modulo torsion |
j |
-3207168/169 |
j-invariant |
L |
4.2817053547377 |
L(r)(E,1)/r! |
Ω |
0.083541189915422 |
Real period |
R |
12.813156413427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397o1 98397k1 |
Quadratic twists by: -3 29 |