Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dg |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7411887000000000 = 29 · 32 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102900408,-401800836312] |
[a1,a2,a3,a4,a6] |
Generators |
[-35326472807240439:24280094517750:6031549651427] |
Generators of the group modulo torsion |
j |
128025588102048008/7875 |
j-invariant |
L |
7.9693072504806 |
L(r)(E,1)/r! |
Ω |
0.047401848743391 |
Real period |
R |
21.015285914867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600fd4 23520bh4 16800f3 |
Quadratic twists by: -4 5 -7 |