Atkin-Lehner |
2- 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bj |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
2560283185152 = 212 · 3 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6469,-187573] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:124:1] |
Generators of the group modulo torsion |
j |
254478514753/21762048 |
j-invariant |
L |
6.807442833424 |
L(r)(E,1)/r! |
Ω |
0.5352414916496 |
Real period |
R |
2.1197418795889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626t1 |
Quadratic twists by: -7 |