Atkin-Lehner |
5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675l |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
37152 |
Modular degree for the optimal curve |
Δ |
-700439075 = -1 · 52 · 72 · 833 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -3 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-723,7354] |
[a1,a2,a3,a4,a6] |
Generators |
[122:79:8] |
Generators of the group modulo torsion |
j |
-34166702080/571787 |
j-invariant |
L |
4.4359433815793 |
L(r)(E,1)/r! |
Ω |
1.6115853696735 |
Real period |
R |
0.91751130195671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675w1 101675a1 |
Quadratic twists by: 5 -7 |