Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430ct |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
4848099869975040 = 29 · 33 · 5 · 78 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44183,-1236049] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:1402:1] |
Generators of the group modulo torsion |
j |
61281870867/31147520 |
j-invariant |
L |
11.045265413761 |
L(r)(E,1)/r! |
Ω |
0.34754707505087 |
Real period |
R |
1.7655906234339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903586 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101430i2 101430dh1 |
Quadratic twists by: -3 -7 |