Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14490w |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
12323745000000 = 26 · 37 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1010574,-390768620] |
[a1,a2,a3,a4,a6] |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
2.1080725000417 |
L(r)(E,1)/r! |
Ω |
0.15057660714584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920ek1 4830u1 72450du1 101430u1 |
Quadratic twists by: -4 -3 5 -7 |