Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904v |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
10000269312 = 220 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,6913] |
[a1,a2,a3,a4,a6] |
Generators |
[3:68:1] |
Generators of the group modulo torsion |
j |
192100033/38148 |
j-invariant |
L |
2.8951454167455 |
L(r)(E,1)/r! |
Ω |
1.2218914543387 |
Real period |
R |
1.1846982833316 |
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 |
35904cp1 1122j1 107712x1 |
Quadratic twists by: -4 8 -3 |