Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710i |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-76143570214976000 = -1 · 29 · 53 · 113 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15877,-13247267] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:33232:1] |
Generators of the group modulo torsion |
j |
9407293631/1618496000 |
j-invariant |
L |
3.5236902123395 |
L(r)(E,1)/r! |
Ω |
0.16241723851334 |
Real period |
R |
1.8079414089061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2090m1 |
Quadratic twists by: -19 |