Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92046r |
Isogeny class |
Conductor |
92046 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
264000 |
Modular degree for the optimal curve |
Δ |
-46003738085856 = -1 · 25 · 311 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 4 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4750,-299041] |
[a1,a2,a3,a4,a6] |
Generators |
[59:407:1] |
Generators of the group modulo torsion |
j |
42353322239/164392416 |
j-invariant |
L |
10.243017930663 |
L(r)(E,1)/r! |
Ω |
0.32387171378732 |
Real period |
R |
2.1084516868197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92046t1 |
Quadratic twists by: -23 |