Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gm |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
189325856250000 = 24 · 313 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17625,-610625] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:243:8] |
Generators of the group modulo torsion |
j |
132893440/41553 |
j-invariant |
L |
5.2902821136747 |
L(r)(E,1)/r! |
Ω |
0.4245126468086 |
Real period |
R |
3.1155032445557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100bd1 22800dt1 68400fn1 |
Quadratic twists by: -4 -3 5 |