Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496i |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-68880663871488 = -1 · 215 · 33 · 73 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9512,175600] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2928:1] |
Generators of the group modulo torsion |
j |
23234516030375/16816568328 |
j-invariant |
L |
4.1149081311484 |
L(r)(E,1)/r! |
Ω |
0.39253720033128 |
Real period |
R |
0.87357073581722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562e2 81984cg2 61488ba2 |
Quadratic twists by: -4 8 -3 |