Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101080c |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-353780000000000 = -1 · 211 · 510 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -1 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7784,-868084] |
[a1,a2,a3,a4,a6] |
j |
70540615582/478515625 |
j-invariant |
L |
1.0738790009383 |
L(r)(E,1)/r! |
Ω |
0.26846969304614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101080k1 |
Quadratic twists by: -19 |