Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700z |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-136112574752000 = -1 · 28 · 53 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6655,598950] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:870:1] [-61:882:1] |
Generators of the group modulo torsion |
j |
-574992/2401 |
j-invariant |
L |
10.05084060061 |
L(r)(E,1)/r! |
Ω |
0.50815385540434 |
Real period |
R |
3.2965214812058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84700bi2 700h2 |
Quadratic twists by: 5 -11 |