Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600cf |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-7814880000 = -1 · 28 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-4700] |
[a1,a2,a3,a4,a6] |
j |
-25600/67 |
j-invariant |
L |
2.1330155193629 |
L(r)(E,1)/r! |
Ω |
0.53325389563392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400g1 120600q1 |
Quadratic twists by: -3 5 |