Atkin-Lehner |
2+ 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570g |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53839682457750000 = 24 · 310 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98613,4135293] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:2439:1] |
Generators of the group modulo torsion |
j |
901456690969801/457629750000 |
j-invariant |
L |
2.980472680348 |
L(r)(E,1)/r! |
Ω |
0.31295044219935 |
Real period |
R |
2.3809462125905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930h2 |
Quadratic twists by: -7 |