Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408c |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-8805018284032 = -1 · 212 · 31 · 375 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 -2 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6873,263993] |
[a1,a2,a3,a4,a6] |
Generators |
[-1851:17252:27] |
Generators of the group modulo torsion |
j |
-8767302328000/2149662667 |
j-invariant |
L |
8.9181062925885 |
L(r)(E,1)/r! |
Ω |
0.6980202577851 |
Real period |
R |
6.3881428891457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408m1 36704e1 |
Quadratic twists by: -4 8 |