Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20680a |
Isogeny class |
Conductor |
20680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-520062297530786560 = -1 · 28 · 5 · 116 · 475 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11948348,15896845108] |
[a1,a2,a3,a4,a6] |
Generators |
[2098:7986:1] |
Generators of the group modulo torsion |
j |
-736897929254151805522944/2031493349729635 |
j-invariant |
L |
3.4227218297446 |
L(r)(E,1)/r! |
Ω |
0.25471905994775 |
Real period |
R |
1.679655337947 |
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 |
41360e1 103400w1 |
Quadratic twists by: -4 5 |