Atkin-Lehner |
2+ 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34968c |
Isogeny class |
Conductor |
34968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-1118976 = -1 · 28 · 3 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 0 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,51] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
1362944/4371 |
j-invariant |
L |
6.7639215435944 |
L(r)(E,1)/r! |
Ω |
1.9442311713172 |
Real period |
R |
0.86974245184692 |
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 |
69936b1 104904p1 |
Quadratic twists by: -4 -3 |