Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280em |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15492243194265600 = 214 · 38 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165963,-25325062] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:594:1] [-251:720:1] |
Generators of the group modulo torsion |
j |
1439069689/44100 |
j-invariant |
L |
8.2518931933286 |
L(r)(E,1)/r! |
Ω |
0.23697974372556 |
Real period |
R |
4.3526363601802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4410be2 11760bx2 5040bo2 |
Quadratic twists by: -4 -3 -7 |