Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334j |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1722112 |
Modular degree for the optimal curve |
Δ |
-2485324483103074 = -1 · 2 · 319 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 5 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1166193,-485226481] |
[a1,a2,a3,a4,a6] |
Generators |
[230890276198226917354697860546838:42229821916257306989697158490771029:6857578530747100464258923272] |
Generators of the group modulo torsion |
j |
-6634074439/94 |
j-invariant |
L |
6.9766218938777 |
L(r)(E,1)/r! |
Ω |
0.072640116785788 |
Real period |
R |
48.021824596258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334k1 |
Quadratic twists by: -31 |