Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768s |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19442341773312 = 221 · 3 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-303489,64452993] |
[a1,a2,a3,a4,a6] |
Generators |
[53402429:2164164940:29791] |
Generators of the group modulo torsion |
j |
11792722663094113/74166648 |
j-invariant |
L |
6.5733684609877 |
L(r)(E,1)/r! |
Ω |
0.61134709802615 |
Real period |
R |
10.752269169864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998582084 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120768dv4 3774r4 |
Quadratic twists by: -4 8 |