Atkin-Lehner |
5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86975m |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29417472 |
Modular degree for the optimal curve |
Δ |
-3.1294341683452E+25 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-98289508,461677498918] |
[a1,a2,a3,a4,a6] |
j |
-166549300832677888/49632189453125 |
j-invariant |
L |
0.49947859933373 |
L(r)(E,1)/r! |
Ω |
0.062434829319003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17395k1 86975l1 |
Quadratic twists by: 5 -7 |