Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dp |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
1157456250000 = 24 · 33 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40511625,-99247050625] |
[a1,a2,a3,a4,a6] |
Generators |
[-79970294727441550:1935403506325:21762038592559] |
Generators of the group modulo torsion |
j |
43573146510889416960/6859 |
j-invariant |
L |
7.1542466485563 |
L(r)(E,1)/r! |
Ω |
0.059841798672416 |
Real period |
R |
19.925444553452 |
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 |
17100g1 68400dq2 68400dd1 |
Quadratic twists by: -4 -3 5 |