Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bv |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1297350000000000000 = -1 · 213 · 33 · 514 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11301773,-14621337419] |
[a1,a2,a3,a4,a6] |
Generators |
[7767485:453615592:1331] |
Generators of the group modulo torsion |
j |
-6152849107232836210227/50000000000000 |
j-invariant |
L |
11.416971560712 |
L(r)(E,1)/r! |
Ω |
0.0411701742611 |
Real period |
R |
5.3329175627113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490h1 86490br1 |
Quadratic twists by: -3 -31 |