Atkin-Lehner |
2+ 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690a |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
232960 |
Modular degree for the optimal curve |
Δ |
517963833600000000 = 214 · 3 · 58 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1659413,-822735507] |
[a1,a2,a3,a4,a6] |
Generators |
[340220377491488:11630406759266131:158164877312] |
Generators of the group modulo torsion |
j |
505344548789436320313049/517963833600000000 |
j-invariant |
L |
2.919017405773 |
L(r)(E,1)/r! |
Ω |
0.13302633447081 |
Real period |
R |
21.943154469265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520ci1 29070bo1 48450bu1 |
Quadratic twists by: -4 -3 5 |