Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
76368h |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.7849427877872E+26 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -3 5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240219192,-16836711544976] |
[a1,a2,a3,a4,a6] |
Generators |
[12906880345821995022:43226493050030964841054:1150693132239] |
Generators of the group modulo torsion |
j |
-51506152266622563201454159033/92405829779961220694016 |
j-invariant |
L |
4.7385488003414 |
L(r)(E,1)/r! |
Ω |
0.012718861867029 |
Real period |
R |
31.046729717125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546f2 |
Quadratic twists by: -4 |