Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810p |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-1.247786724701E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 -4 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6282914,-6083843180] |
[a1,a2,a3,a4,a6] |
Generators |
[1394988:64039786:343] |
Generators of the group modulo torsion |
j |
-1136353799133524889/5169479680000 |
j-invariant |
L |
5.4462402734052 |
L(r)(E,1)/r! |
Ω |
0.047666259806924 |
Real period |
R |
7.1411102646452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4930d1 |
Quadratic twists by: 17 |