Atkin-Lehner |
2+ 3+ 7+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858b |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
478296 = 23 · 32 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 5 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51,117] |
[a1,a2,a3,a4,a6] |
Generators |
[3:0:1] |
Generators of the group modulo torsion |
j |
15124197817/478296 |
j-invariant |
L |
4.6527337568201 |
L(r)(E,1)/r! |
Ω |
2.9375350959593 |
Real period |
R |
0.7919452201985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574bd1 |
Quadratic twists by: -3 |