Atkin-Lehner |
3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43575f |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
6.1325482927486E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72506850,237605232375] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:406195:1] |
Generators of the group modulo torsion |
j |
2697992943085423885932577/39248309073591009 |
j-invariant |
L |
4.3089079164341 |
L(r)(E,1)/r! |
Ω |
0.14859450979551 |
Real period |
R |
0.96659199642403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1743b1 |
Quadratic twists by: 5 |