Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310bx |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-5867174250000 = -1 · 24 · 38 · 56 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75843,8033806] |
[a1,a2,a3,a4,a6] |
Generators |
[155:-168:1] |
Generators of the group modulo torsion |
j |
-984613782543230329/119738250000 |
j-invariant |
L |
6.3990320211763 |
L(r)(E,1)/r! |
Ω |
0.72903896617234 |
Real period |
R |
0.091430755166309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310b1 |
Quadratic twists by: -7 |