Atkin-Lehner |
2- 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120274i |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-784163987799808 = -1 · 28 · 73 · 116 · 712 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44954,3889447] |
[a1,a2,a3,a4,a6] |
Generators |
[149:651:1] |
Generators of the group modulo torsion |
j |
-5671177348537/442640128 |
j-invariant |
L |
12.613658626613 |
L(r)(E,1)/r! |
Ω |
0.49423003621419 |
Real period |
R |
1.5951148198108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994c1 |
Quadratic twists by: -11 |