Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382s |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
151920355949454708 = 22 · 312 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-300935,60685958] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:11005:1] |
Generators of the group modulo torsion |
j |
25618370387495257/1291301719092 |
j-invariant |
L |
7.4485883324796 |
L(r)(E,1)/r! |
Ω |
0.32076605953614 |
Real period |
R |
0.96755201451297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626a3 |
Quadratic twists by: -7 |