Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800bo |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33191424000000000 = 218 · 33 · 59 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103500,9350000] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:4125:1] [-194:4704:1] |
Generators of the group modulo torsion |
j |
8869743/2401 |
j-invariant |
L |
11.453906498305 |
L(r)(E,1)/r! |
Ω |
0.34427348254774 |
Real period |
R |
4.1587237610559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kn2 1575a2 100800bp2 100800ch2 |
Quadratic twists by: -4 8 -3 5 |