Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104cj |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-1392447226499825664 = -1 · 237 · 3 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 3 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-347201,-96961311] |
[a1,a2,a3,a4,a6] |
j |
-17657448289261201/5311764627456 |
j-invariant |
L |
1.1620860165677 |
L(r)(E,1)/r! |
Ω |
0.096840501444657 |
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 |
55104bb1 13776z1 |
Quadratic twists by: -4 8 |