Atkin-Lehner |
2- 3+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20130o |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-4.0673848130053E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7505045,12518000507] |
[a1,a2,a3,a4,a6] |
j |
-46750215544306707914819281/40673848130053079040000 |
j-invariant |
L |
2.0981849958363 |
L(r)(E,1)/r! |
Ω |
0.10490924979181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60390i1 100650t1 |
Quadratic twists by: -3 5 |