Atkin-Lehner |
2- 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61488j |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6045652721074176 = -1 · 221 · 39 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-305667,65153538] |
[a1,a2,a3,a4,a6] |
j |
-39175823587347/74988032 |
j-invariant |
L |
3.4037406460183 |
L(r)(E,1)/r! |
Ω |
0.42546758055289 |
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 |
7686b1 61488k1 |
Quadratic twists by: -4 -3 |