Atkin-Lehner |
2+ 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080u |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
102912 |
Modular degree for the optimal curve |
Δ |
-17867520000 = -1 · 211 · 33 · 54 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1240,17588] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-60:1] |
Generators of the group modulo torsion |
j |
-103040748722/8724375 |
j-invariant |
L |
8.9139939672402 |
L(r)(E,1)/r! |
Ω |
1.2024146201642 |
Real period |
R |
0.1544460650618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62040c1 |
Quadratic twists by: -4 |