Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bv |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
115923950948925 = 33 · 52 · 78 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13393,291484] |
[a1,a2,a3,a4,a6] |
Generators |
[2:514:1] |
Generators of the group modulo torsion |
j |
90336133120/39413493 |
j-invariant |
L |
7.2861012410417 |
L(r)(E,1)/r! |
Ω |
0.53226997825243 |
Real period |
R |
1.1407276942428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999738725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bg1 16275i1 |
Quadratic twists by: 5 -7 |