Atkin-Lehner |
2- 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400cc |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
595926712320000 = 233 · 3 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1129208,462233712] |
[a1,a2,a3,a4,a6] |
Generators |
[796:-8192:1] [601:548:1] |
Generators of the group modulo torsion |
j |
62202232222815625/232783872 |
j-invariant |
L |
7.25139375589 |
L(r)(E,1)/r! |
Ω |
0.45227992752264 |
Real period |
R |
4.0082442944181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550t2 44400ck2 |
Quadratic twists by: -4 5 |