Atkin-Lehner |
3- 5+ 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71595a |
Isogeny class |
Conductor |
71595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120320 |
Modular degree for the optimal curve |
Δ |
-32620471875 = -1 · 38 · 55 · 37 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 0 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5853,-172571] |
[a1,a2,a3,a4,a6] |
j |
-30418077085696/44746875 |
j-invariant |
L |
1.0915575017315 |
L(r)(E,1)/r! |
Ω |
0.27288937784351 |
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 |
23865b1 |
Quadratic twists by: -3 |