Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194g |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4372012166383927296 = -1 · 224 · 39 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-886236,336734288] |
[a1,a2,a3,a4,a6] |
Generators |
[152:14260:1] |
Generators of the group modulo torsion |
j |
-3910937343040446291/222121229811712 |
j-invariant |
L |
3.6660615266325 |
L(r)(E,1)/r! |
Ω |
0.24231254662117 |
Real period |
R |
1.2607895524985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40194be1 |
Quadratic twists by: -3 |