Atkin-Lehner |
2+ 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550t |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
127028250000 = 24 · 36 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-264676,52388498] |
[a1,a2,a3,a4,a6] |
Generators |
[298:-118:1] |
Generators of the group modulo torsion |
j |
131233591734941233/8129808 |
j-invariant |
L |
6.6046469397869 |
L(r)(E,1)/r! |
Ω |
0.7874012363261 |
Real period |
R |
1.3979842050018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182g1 |
Quadratic twists by: 5 |