Atkin-Lehner |
2- 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
113220m |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
285953394206160 = 24 · 312 · 5 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76692,-8134139] |
[a1,a2,a3,a4,a6] |
Generators |
[732325:14349636:1331] |
Generators of the group modulo torsion |
j |
4276873371172864/24515894565 |
j-invariant |
L |
4.8540309442239 |
L(r)(E,1)/r! |
Ω |
0.28698681966183 |
Real period |
R |
8.456888271138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37740h1 |
Quadratic twists by: -3 |