Atkin-Lehner |
2+ 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190q |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.156367820768E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 1 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-703212,564680784] |
[a1,a2,a3,a4,a6] |
Generators |
[395:18477:1] |
Generators of the group modulo torsion |
j |
-7967524044697489/23957190366720 |
j-invariant |
L |
3.7371935329193 |
L(r)(E,1)/r! |
Ω |
0.16440596501164 |
Real period |
R |
2.273149596901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630p1 |
Quadratic twists by: 13 |