Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272d |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
753600 |
Modular degree for the optimal curve |
Δ |
-201913176679778304 = -1 · 211 · 35 · 135 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 -6 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174816,35538912] |
[a1,a2,a3,a4,a6] |
Generators |
[-436:5356:1] |
Generators of the group modulo torsion |
j |
-288495989758581698/98590418300673 |
j-invariant |
L |
4.0405713846823 |
L(r)(E,1)/r! |
Ω |
0.29930223751436 |
Real period |
R |
0.22499950872251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32136h1 |
Quadratic twists by: -4 |