Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328q |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
348096 |
Modular degree for the optimal curve |
Δ |
-9066189819310848 = -1 · 28 · 37 · 78 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145889,-21980253] |
[a1,a2,a3,a4,a6] |
Generators |
[1339:46746:1] |
Generators of the group modulo torsion |
j |
-232685888512/6143283 |
j-invariant |
L |
6.9121750533076 |
L(r)(E,1)/r! |
Ω |
0.12195143822104 |
Real period |
R |
0.3373793677848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656e1 62328j1 |
Quadratic twists by: -4 -7 |