Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760c |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-14859087476400 = -1 · 24 · 34 · 52 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7675,-315848] |
[a1,a2,a3,a4,a6] |
Generators |
[2522:42705:8] |
Generators of the group modulo torsion |
j |
-3125327017363456/928692967275 |
j-invariant |
L |
5.4156399943853 |
L(r)(E,1)/r! |
Ω |
0.25118761860392 |
Real period |
R |
5.3900347720984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520v1 116280bq1 |
Quadratic twists by: -4 -3 |