Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515m |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294528 |
Modular degree for the optimal curve |
Δ |
-133775759590395 = -1 · 3 · 5 · 139 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -3 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5126,572420] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3295:1] |
Generators of the group modulo torsion |
j |
-1404928/12615 |
j-invariant |
L |
3.5256797492302 |
L(r)(E,1)/r! |
Ω |
0.49924755673844 |
Real period |
R |
1.7654967472912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73515q1 |
Quadratic twists by: 13 |