Atkin-Lehner |
2- 7- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
119462l |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-201486528237568 = -1 · 212 · 79 · 23 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7- 1 -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13327,-339095] |
[a1,a2,a3,a4,a6] |
Generators |
[298:5339:1] |
Generators of the group modulo torsion |
j |
6486889625/4993024 |
j-invariant |
L |
7.1931937789915 |
L(r)(E,1)/r! |
Ω |
0.31473362485753 |
Real period |
R |
0.9522859341412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119462k1 |
Quadratic twists by: -7 |