Atkin-Lehner |
3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62361g |
Isogeny class |
Conductor |
62361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-9011429536307102307 = -1 · 313 · 1310 · 41 |
Discriminant |
Eigenvalues |
2 3- 0 2 -1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,413205,-102019343] |
[a1,a2,a3,a4,a6] |
j |
2217342464000/2560979187 |
j-invariant |
L |
4.4795062421071 |
L(r)(E,1)/r! |
Ω |
0.12443072891341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20787e1 4797b1 |
Quadratic twists by: -3 13 |