Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840r |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1550966587392000 = -1 · 223 · 3 · 53 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397505,-96349503] |
[a1,a2,a3,a4,a6] |
Generators |
[1137:30336:1] |
Generators of the group modulo torsion |
j |
-26497974027200689/5916468000 |
j-invariant |
L |
4.9790378166816 |
L(r)(E,1)/r! |
Ω |
0.095066608708378 |
Real period |
R |
1.4548389584324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840cn2 2370k2 |
Quadratic twists by: -4 8 |