Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382m |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-98253641287038006 = -1 · 2 · 311 · 77 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 1 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2525,-15081370] |
[a1,a2,a3,a4,a6] |
Generators |
[900:26230:1] |
Generators of the group modulo torsion |
j |
-15124197817/835142171094 |
j-invariant |
L |
4.6214069470825 |
L(r)(E,1)/r! |
Ω |
0.15385604734061 |
Real period |
R |
0.34133197178867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626b1 |
Quadratic twists by: -7 |