Atkin-Lehner |
3+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725c |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
792419677734375 = 35 · 512 · 192 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1197563,-504921094] |
[a1,a2,a3,a4,a6] |
Generators |
[4182850:93538453:2744] |
Generators of the group modulo torsion |
j |
12156227450869853161/50714859375 |
j-invariant |
L |
2.5777786792189 |
L(r)(E,1)/r! |
Ω |
0.14431951779239 |
Real period |
R |
8.9308040889074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10545g2 |
Quadratic twists by: 5 |