Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526g |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16051200 |
Modular degree for the optimal curve |
Δ |
-1.8953828779779E+22 |
Discriminant |
Eigenvalues |
2+ 1 -1 5 11- 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51548544,-142611573810] |
[a1,a2,a3,a4,a6] |
Generators |
[201955109271999686114080827773509866:47894677737478535369320376871639547295:3517114936053509582496731879553] |
Generators of the group modulo torsion |
j |
-8550997869217196107729/10698942220888064 |
j-invariant |
L |
6.0624799811372 |
L(r)(E,1)/r! |
Ω |
0.028169742810492 |
Real period |
R |
53.803117958173 |
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 |
8866k1 |
Quadratic twists by: -11 |