Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bn |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1406287872 = 214 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114449,14864655] |
[a1,a2,a3,a4,a6] |
Generators |
[1562:-51:8] [-47:4488:1] |
Generators of the group modulo torsion |
j |
10119139303540048/85833 |
j-invariant |
L |
8.5584215814819 |
L(r)(E,1)/r! |
Ω |
1.0531448353269 |
Real period |
R |
1.3544230091304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904bv1 4488f1 107712z1 |
Quadratic twists by: -4 8 -3 |