Atkin-Lehner |
3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025l |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
833825390625 = 34 · 58 · 192 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2376,7273] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:242:1] |
Generators of the group modulo torsion |
j |
94881210481/53364825 |
j-invariant |
L |
8.2286868893759 |
L(r)(E,1)/r! |
Ω |
0.76942868209293 |
Real period |
R |
2.6736353526326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20805c1 |
Quadratic twists by: 5 |