Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336v |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1730645197848576 = 222 · 34 · 372 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94152,10906740] |
[a1,a2,a3,a4,a6] |
Generators |
[-42780:222222:125] |
Generators of the group modulo torsion |
j |
22534972185697993/422520800256 |
j-invariant |
L |
11.622751225605 |
L(r)(E,1)/r! |
Ω |
0.47205735145701 |
Real period |
R |
6.1553703213823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836612 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13542b2 |
Quadratic twists by: -4 |