Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240k |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-745329600 = -1 · 26 · 38 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,1204] |
[a1,a2,a3,a4,a6] |
Generators |
[3:40:1] |
Generators of the group modulo torsion |
j |
4410944/15975 |
j-invariant |
L |
7.9307953887375 |
L(r)(E,1)/r! |
Ω |
1.1367552166431 |
Real period |
R |
1.7441739578248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bo1 34080bd1 |
Quadratic twists by: -4 -3 |