Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310br |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
7.610299889721E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8570763,9565427638] |
[a1,a2,a3,a4,a6] |
Generators |
[719:61080:1] |
Generators of the group modulo torsion |
j |
1725439505727872143/18859032576000 |
j-invariant |
L |
6.8088363809219 |
L(r)(E,1)/r! |
Ω |
0.16041995976868 |
Real period |
R |
2.3579901617168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107310g1 |
Quadratic twists by: -7 |