Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600bg |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
693665280 |
Modular degree for the optimal curve |
Δ |
-3.4429316070107E+33 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -6 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96950878008,-11957193559481488] |
[a1,a2,a3,a4,a6] |
j |
-1574704170311588536689715160881/53795806359541618750000000 |
j-invariant |
L |
1.3832642402872 |
L(r)(E,1)/r! |
Ω |
0.0042693334435431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950d1 20720t1 |
Quadratic twists by: -4 5 |