Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20976f |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1203819687936 = -1 · 212 · 34 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -1 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,283,-52851] |
[a1,a2,a3,a4,a6] |
Generators |
[44:207:1] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
2.5825664505443 |
L(r)(E,1)/r! |
Ω |
0.40469997850637 |
Real period |
R |
1.5953586531409 |
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 |
1311d1 83904bv1 62928y1 |
Quadratic twists by: -4 8 -3 |