Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800u |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1050853500000000 = -1 · 28 · 37 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18825,-1201750] |
[a1,a2,a3,a4,a6] |
Generators |
[14470:198772:125] |
Generators of the group modulo torsion |
j |
253012016/360375 |
j-invariant |
L |
7.1805870670946 |
L(r)(E,1)/r! |
Ω |
0.26112449390672 |
Real period |
R |
6.8746778209031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600y1 18600s1 11160s1 |
Quadratic twists by: -4 -3 5 |