Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ec |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-74007333504000000 = -1 · 213 · 36 · 56 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 4 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-225230,-43117603] |
[a1,a2,a3,a4,a6] |
Generators |
[3385:193171:1] |
Generators of the group modulo torsion |
j |
-110931033861649/6497214464 |
j-invariant |
L |
13.062432536344 |
L(r)(E,1)/r! |
Ω |
0.10920451156852 |
Real period |
R |
4.6005539834602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350a1 4446g1 |
Quadratic twists by: -3 5 |