Atkin-Lehner |
2- 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812h |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
347136 |
Modular degree for the optimal curve |
Δ |
-379627543152 = -1 · 24 · 38 · 114 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194385,32986969] |
[a1,a2,a3,a4,a6] |
Generators |
[293:1089:1] |
Generators of the group modulo torsion |
j |
-69640911682528000/32546943 |
j-invariant |
L |
5.521202807192 |
L(r)(E,1)/r! |
Ω |
0.77744167160655 |
Real period |
R |
0.59181318748441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32604f1 |
Quadratic twists by: -3 |