Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bd |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
2.68377705E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-924941817,-10827055056659] |
[a1,a2,a3,a4,a6] |
Generators |
[-46087005712173977787676973366119:22867389769305445299525603275972:2623649147265574025059235059] |
Generators of the group modulo torsion |
j |
7682797769579096723589961/2356128000000000 |
j-invariant |
L |
4.8746461126035 |
L(r)(E,1)/r! |
Ω |
0.027376060944109 |
Real period |
R |
44.51559085285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150w1 9090w1 |
Quadratic twists by: -3 5 |