Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490g |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-60529161600 = -1 · 27 · 39 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 1 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7899,-268507] |
[a1,a2,a3,a4,a6] |
Generators |
[4057:256294:1] |
Generators of the group modulo torsion |
j |
-2881749987/3200 |
j-invariant |
L |
5.9429275548099 |
L(r)(E,1)/r! |
Ω |
0.25318911940146 |
Real period |
R |
5.8680716300066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490bu1 86490c1 |
Quadratic twists by: -3 -31 |