Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938m |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-99301958866 = -1 · 2 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 0 -3 1 11- -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199,15249] |
[a1,a2,a3,a4,a6] |
Generators |
[342:2137:8] |
Generators of the group modulo torsion |
j |
-297/34 |
j-invariant |
L |
6.7964737249165 |
L(r)(E,1)/r! |
Ω |
0.87359267378521 |
Real period |
R |
1.9449778852591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938c1 4114d1 |
Quadratic twists by: -11 17 |