Atkin-Lehner |
2- 3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336ba |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1049735611809792 = -1 · 222 · 34 · 373 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 4 1 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25408,2868] |
[a1,a2,a3,a4,a6] |
j |
442851493301567/256283108352 |
j-invariant |
L |
7.0456480354712 |
L(r)(E,1)/r! |
Ω |
0.29356869042551 |
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 |
13542h1 |
Quadratic twists by: -4 |