Atkin-Lehner |
13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83317f |
Isogeny class |
Conductor |
83317 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1970962857965153 = 1310 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 -2 2 -2 -6 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40817,-2351168] |
[a1,a2,a3,a4,a6] |
j |
1558071944857/408336617 |
j-invariant |
L |
0.68484041483357 |
L(r)(E,1)/r! |
Ω |
0.34242019423192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6409b1 |
Quadratic twists by: 13 |