Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102752b |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-48953986818420736 = -1 · 212 · 136 · 195 |
Discriminant |
Eigenvalues |
2+ 0 -3 5 5 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9464,-10651056] |
[a1,a2,a3,a4,a6] |
Generators |
[1125215:64409449:343] |
Generators of the group modulo torsion |
j |
-4741632/2476099 |
j-invariant |
L |
6.0748701414088 |
L(r)(E,1)/r! |
Ω |
0.16046286233643 |
Real period |
R |
9.4646045452628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102752e1 608e1 |
Quadratic twists by: -4 13 |