Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840cg |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-3.7338233168026E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2617041,-1656716241] |
[a1,a2,a3,a4,a6] |
j |
-120986111455981208656/2278944895509375 |
j-invariant |
L |
3.2012942199268 |
L(r)(E,1)/r! |
Ω |
0.059283226220289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840c1 18960d1 |
Quadratic twists by: -4 8 |