Atkin-Lehner |
5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34075a |
Isogeny class |
Conductor |
34075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
8.9638714920654E+19 |
Discriminant |
Eigenvalues |
1 -3 5+ -1 3 1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6276442,6036674341] |
[a1,a2,a3,a4,a6] |
Generators |
[-58452:2657351:27] |
Generators of the group modulo torsion |
j |
1750025128545654906609/5736877754921875 |
j-invariant |
L |
4.0726104035651 |
L(r)(E,1)/r! |
Ω |
0.19170576463081 |
Real period |
R |
2.6555085676533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6815b1 |
Quadratic twists by: 5 |