Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200y |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-37338800000000 = -1 · 210 · 58 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -2 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8208,407588] |
[a1,a2,a3,a4,a6] |
Generators |
[22:488:1] |
Generators of the group modulo torsion |
j |
-152907460/93347 |
j-invariant |
L |
8.6053770312109 |
L(r)(E,1)/r! |
Ω |
0.60121831413465 |
Real period |
R |
3.5783078621773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000174076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64600m1 129200q1 |
Quadratic twists by: -4 5 |