Atkin-Lehner |
2+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770i |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
170311680 |
Modular degree for the optimal curve |
Δ |
4.3755058676349E+29 |
Discriminant |
Eigenvalues |
2+ 3 5- 3 2 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1904627569,3278027575325] |
[a1,a2,a3,a4,a6] |
j |
5161630300553298943819449/2955706144768000000000 |
j-invariant |
L |
6.4163100781184 |
L(r)(E,1)/r! |
Ω |
0.025461547962983 |
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 |
2990c1 |
Quadratic twists by: -23 |