Atkin-Lehner |
2+ 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494q |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-4254965234860032 = -1 · 216 · 36 · 7 · 115 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44532,4799952] |
[a1,a2,a3,a4,a6] |
j |
-13397330486562625/5836714999808 |
j-invariant |
L |
0.81935409778763 |
L(r)(E,1)/r! |
Ω |
0.40967684340539 |
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 |
12166q1 |
Quadratic twists by: -3 |