Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cb |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
740179968 = 214 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-753,-7599] |
[a1,a2,a3,a4,a6] |
Generators |
[32:7:1] |
Generators of the group modulo torsion |
j |
2885794000/45177 |
j-invariant |
L |
7.0417637359191 |
L(r)(E,1)/r! |
Ω |
0.91214691613337 |
Real period |
R |
3.8599942686239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144v2 19536h2 |
Quadratic twists by: -4 8 |