Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102245h |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22464000 |
Modular degree for the optimal curve |
Δ |
-7.8140171283676E+22 |
Discriminant |
Eigenvalues |
-2 -2 5+ -4 11- 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24545616,-48708872910] |
[a1,a2,a3,a4,a6] |
Generators |
[31632:5552145:1] |
Generators of the group modulo torsion |
j |
-87056109568/4159375 |
j-invariant |
L |
1.0891514289224 |
L(r)(E,1)/r! |
Ω |
0.033819494819325 |
Real period |
R |
8.0512099545708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9295a1 102245n1 |
Quadratic twists by: -11 13 |