Atkin-Lehner |
2+ 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870d |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-22044446270000 = -1 · 24 · 54 · 7 · 11 · 315 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 11+ 2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218695,-39310675] |
[a1,a2,a3,a4,a6] |
j |
-1156755014779859294409/22044446270000 |
j-invariant |
L |
3.9738526239456 |
L(r)(E,1)/r! |
Ω |
0.1103847951096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350be1 |
Quadratic twists by: 5 |