Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200bx |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
550130227200 = 211 · 37 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6555,201130] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:612:1] |
Generators of the group modulo torsion |
j |
834534530/14739 |
j-invariant |
L |
5.0470634874312 |
L(r)(E,1)/r! |
Ω |
0.92405022527597 |
Real period |
R |
0.11378943818774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600cl1 20400w1 61200ch1 |
Quadratic twists by: -4 -3 5 |