Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550n |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
8547840 |
Modular degree for the optimal curve |
Δ |
-3.4342348208153E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1595742,-8949358584] |
[a1,a2,a3,a4,a6] |
Generators |
[3540:170724:1] |
Generators of the group modulo torsion |
j |
-1704308010376275/130246535426476 |
j-invariant |
L |
5.0252332503435 |
L(r)(E,1)/r! |
Ω |
0.051302766662533 |
Real period |
R |
1.1661009515801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550di1 116550dl1 |
Quadratic twists by: -3 5 |