Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930q |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
641640605760 = 26 · 312 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2889,46413] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:255:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
3.3766826587998 |
L(r)(E,1)/r! |
Ω |
0.85598740585941 |
Real period |
R |
0.6574634618231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440ed1 2310u1 34650dd1 48510bc1 |
Quadratic twists by: -4 -3 5 -7 |