Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600eq |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
-6.564967731945E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2194792,-3692666088] |
[a1,a2,a3,a4,a6] |
Generators |
[16836128101:46606692476092:2197] |
Generators of the group modulo torsion |
j |
1987675000/11160261 |
j-invariant |
L |
4.9657731891699 |
L(r)(E,1)/r! |
Ω |
0.066925696931655 |
Real period |
R |
18.549575935836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600cz1 117600dw1 16800bu1 |
Quadratic twists by: -4 5 -7 |