Atkin-Lehner |
2+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118490f |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
715015137702500 = 22 · 54 · 178 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66524,6494268] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:3691:1] |
Generators of the group modulo torsion |
j |
1348866350649/29622500 |
j-invariant |
L |
6.1667799651449 |
L(r)(E,1)/r! |
Ω |
0.50737749338299 |
Real period |
R |
3.0385560982428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970b1 |
Quadratic twists by: 17 |