Atkin-Lehner |
5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
66785g |
Isogeny class |
Conductor |
66785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
9818622383078125 = 56 · 198 · 37 |
Discriminant |
Eigenvalues |
2 3 5- -3 -1 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-110827,-13376765] |
[a1,a2,a3,a4,a6] |
Generators |
[666444:1928681:1728] |
Generators of the group modulo torsion |
j |
3199917920256/208703125 |
j-invariant |
L |
22.1930530711 |
L(r)(E,1)/r! |
Ω |
0.26273174251926 |
Real period |
R |
7.0391992668824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3515b1 |
Quadratic twists by: -19 |