Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247q |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-498486052710980271 = -1 · 37 · 74 · 377 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-172751,-43747914] |
[a1,a2,a3,a4,a6] |
Generators |
[2910:153752:1] |
Generators of the group modulo torsion |
j |
-304821217/266511 |
j-invariant |
L |
2.7635761213128 |
L(r)(E,1)/r! |
Ω |
0.11295685146127 |
Real period |
R |
6.1164419945592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006909 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28749d1 2331h1 |
Quadratic twists by: -3 37 |