Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bk |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1853543587840 = -1 · 213 · 5 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 5 -7 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3064,-6544] |
[a1,a2,a3,a4,a6] |
Generators |
[1580:23064:125] |
Generators of the group modulo torsion |
j |
15844999079/9235210 |
j-invariant |
L |
9.211579279253 |
L(r)(E,1)/r! |
Ω |
0.4926257231926 |
Real period |
R |
2.3373676183109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190i1 121520ce1 |
Quadratic twists by: -4 -7 |