Atkin-Lehner |
2- 3+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
125136i |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-140120285184 = -1 · 213 · 39 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 11+ 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,-17982] |
[a1,a2,a3,a4,a6] |
Generators |
[306:1701:8] |
Generators of the group modulo torsion |
j |
9261/1738 |
j-invariant |
L |
7.3746620086367 |
L(r)(E,1)/r! |
Ω |
0.48776211566323 |
Real period |
R |
3.7798456245239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15642b1 125136l1 |
Quadratic twists by: -4 -3 |