Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310bu |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-91626577225344000 = -1 · 210 · 35 · 53 · 79 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4043653,-3130115152] |
[a1,a2,a3,a4,a6] |
Generators |
[2419:34070:1] |
Generators of the group modulo torsion |
j |
-62152264723374149689/778813056000 |
j-invariant |
L |
6.7490110319005 |
L(r)(E,1)/r! |
Ω |
0.053232366708433 |
Real period |
R |
2.1130662463192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330a1 |
Quadratic twists by: -7 |