Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gi |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-27994781329920000 = -1 · 212 · 313 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 5 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66525,4602850] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1710:1] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
7.4351652110216 |
L(r)(E,1)/r! |
Ω |
0.24293543307278 |
Real period |
R |
0.85015332825579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4275n1 22800dq1 68400fc1 |
Quadratic twists by: -4 -3 5 |