Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cd |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21833280 |
Modular degree for the optimal curve |
Δ |
-2.8503608252264E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-677842961,6793400894640] |
[a1,a2,a3,a4,a6] |
Generators |
[15210201688350535801683408:45278586533523916732597080:1024183672268631815611] |
Generators of the group modulo torsion |
j |
-351119534556135424/29056536675 |
j-invariant |
L |
6.0787818959908 |
L(r)(E,1)/r! |
Ω |
0.076792968512799 |
Real period |
R |
39.579026659046 |
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 |
21660x1 86640db1 |
Quadratic twists by: -4 -19 |