Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224bf |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
208000 |
Modular degree for the optimal curve |
Δ |
3496251838464 = 212 · 35 · 75 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29925,-1980531] |
[a1,a2,a3,a4,a6] |
Generators |
[-102558783500:-1694068133:1058089859] |
Generators of the group modulo torsion |
j |
723570336280576/853577109 |
j-invariant |
L |
6.361833225201 |
L(r)(E,1)/r! |
Ω |
0.36301165429561 |
Real period |
R |
17.525148710571 |
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 |
4389k1 |
Quadratic twists by: -4 |