Atkin-Lehner |
2- 3- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36378h |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
35563756084936704 = 214 · 312 · 432 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-776201,263251721] |
[a1,a2,a3,a4,a6] |
Generators |
[-453:23068:1] |
Generators of the group modulo torsion |
j |
70944421714660788553/48784301899776 |
j-invariant |
L |
5.8452123332066 |
L(r)(E,1)/r! |
Ω |
0.36325432927851 |
Real period |
R |
1.1493742345396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12126c2 |
Quadratic twists by: -3 |