Atkin-Lehner |
2+ 3+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742b |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-14752840812766812 = -1 · 22 · 312 · 7 · 232 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,56511,-2699487] |
[a1,a2,a3,a4,a6] |
Generators |
[13662:563247:8] |
Generators of the group modulo torsion |
j |
19957708797104487527/14752840812766812 |
j-invariant |
L |
3.5669824820069 |
L(r)(E,1)/r! |
Ω |
0.22114096633799 |
Real period |
R |
4.032475914656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226w1 |
Quadratic twists by: -3 |