Atkin-Lehner |
3+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12597b |
Isogeny class |
Conductor |
12597 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1577509713 = 32 · 134 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1207,15524] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:171:1] |
Generators of the group modulo torsion |
j |
194476894355953/1577509713 |
j-invariant |
L |
2.2840972373143 |
L(r)(E,1)/r! |
Ω |
1.511083823974 |
Real period |
R |
1.5115622317413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37791g1 |
Quadratic twists by: -3 |