Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ct |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-988063248088800000 = -1 · 28 · 39 · 55 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 1 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73008,-47217924] |
[a1,a2,a3,a4,a6] |
Generators |
[442:8450:1] |
Generators of the group modulo torsion |
j |
1769472/40625 |
j-invariant |
L |
7.9323594543477 |
L(r)(E,1)/r! |
Ω |
0.13477272539987 |
Real period |
R |
0.73571631443993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420d1 121680cg1 9360w1 |
Quadratic twists by: -4 -3 13 |