Atkin-Lehner |
2- 3+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706u |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-2303043857114112 = -1 · 210 · 33 · 7 · 177 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -3 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9302,-2338477] |
[a1,a2,a3,a4,a6] |
Generators |
[161:527:1] |
Generators of the group modulo torsion |
j |
-89013450376805473/2303043857114112 |
j-invariant |
L |
7.6248055344409 |
L(r)(E,1)/r! |
Ω |
0.19970422283279 |
Real period |
R |
3.8180492261424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62118x1 |
Quadratic twists by: -3 |