Atkin-Lehner |
2+ 3- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130x |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
857088 |
Modular degree for the optimal curve |
Δ |
-10364350464000000 = -1 · 218 · 37 · 56 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-191349,-32539595] |
[a1,a2,a3,a4,a6] |
Generators |
[124855:3410929:125] |
Generators of the group modulo torsion |
j |
-1062859971261495889/14217216000000 |
j-invariant |
L |
6.3311045555586 |
L(r)(E,1)/r! |
Ω |
0.11404263951614 |
Real period |
R |
9.2525400710598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710u1 |
Quadratic twists by: -3 |