Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bt |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-297156617591526 = -1 · 2 · 33 · 711 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16610,96074] |
[a1,a2,a3,a4,a6] |
Generators |
[2398:44077:8] |
Generators of the group modulo torsion |
j |
4307673070511/2525789574 |
j-invariant |
L |
13.648245789576 |
L(r)(E,1)/r! |
Ω |
0.3312675315412 |
Real period |
R |
3.4333392423554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626k1 |
Quadratic twists by: -7 |