Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976bi |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-4050115006500864 = -1 · 212 · 39 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1488828,699228416] |
[a1,a2,a3,a4,a6] |
Generators |
[733:1323:1] [-590:37044:1] |
Generators of the group modulo torsion |
j |
-122227750618912576/1356375321 |
j-invariant |
L |
11.649096539213 |
L(r)(E,1)/r! |
Ω |
0.39843076519786 |
Real period |
R |
0.26104859270571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976y1 40992b1 |
Quadratic twists by: -4 -3 |