Atkin-Lehner |
2- 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646o |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-2460700580511744 = -1 · 231 · 33 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -5 3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25673,2870473] |
[a1,a2,a3,a4,a6] |
Generators |
[71:1148:1] |
Generators of the group modulo torsion |
j |
-69306497412064947/91137058537472 |
j-invariant |
L |
6.5175574535999 |
L(r)(E,1)/r! |
Ω |
0.41343589920027 |
Real period |
R |
0.12713203499774 |
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 |
20646e1 |
Quadratic twists by: -3 |