Atkin-Lehner |
3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275u |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-7.1362885880127E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 -5 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,561370,-372944878] |
[a1,a2,a3,a4,a6] |
Generators |
[41349:8388700:1] [984:-34130:1] |
Generators of the group modulo torsion |
j |
1717609695162479/6265054453125 |
j-invariant |
L |
5.7033503079023 |
L(r)(E,1)/r! |
Ω |
0.098957020376139 |
Real period |
R |
0.80048083924761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22425o1 13455c1 |
Quadratic twists by: -3 5 |