Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050dd |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
21790947780000000 = 28 · 33 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139880,-18807253] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:471:1] |
Generators of the group modulo torsion |
j |
17779581/1280 |
j-invariant |
L |
7.8882146569848 |
L(r)(E,1)/r! |
Ω |
0.24798689027147 |
Real period |
R |
1.9880624154037 |
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 |
22050f1 4410a1 22050dc1 |
Quadratic twists by: -3 5 -7 |