Atkin-Lehner |
2+ 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178a |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5539485122005248 = 28 · 33 · 19 · 596 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90660,-9855152] |
[a1,a2,a3,a4,a6] |
Generators |
[46695:336827:125] |
Generators of the group modulo torsion |
j |
3052177501493603547/205166115629824 |
j-invariant |
L |
5.2603521413854 |
L(r)(E,1)/r! |
Ω |
0.27629732423555 |
Real period |
R |
9.5193685931261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20178k2 |
Quadratic twists by: -3 |