Atkin-Lehner |
2+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550l |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
67352660937500 = 22 · 58 · 23 · 374 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 3 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13825,479625] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:23537:27] |
Generators of the group modulo torsion |
j |
748183593145/172422812 |
j-invariant |
L |
7.3100499049657 |
L(r)(E,1)/r! |
Ω |
0.58208042852444 |
Real period |
R |
3.1396219262606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550q1 |
Quadratic twists by: 5 |