Atkin-Lehner |
2- 7- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
106288r |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1177201672192 = -1 · 220 · 7 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 0 4 7- 3 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55163,4987050] |
[a1,a2,a3,a4,a6] |
j |
-4532182556825169/287402752 |
j-invariant |
L |
3.2868792374636 |
L(r)(E,1)/r! |
Ω |
0.82171981302 |
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 |
13286h1 |
Quadratic twists by: -4 |