Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960g |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-550540800 = -1 · 29 · 36 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7443,247158] |
[a1,a2,a3,a4,a6] |
Generators |
[49:10:1] [-6:540:1] |
Generators of the group modulo torsion |
j |
-122171605128/1475 |
j-invariant |
L |
9.7653501692463 |
L(r)(E,1)/r! |
Ω |
1.4915009842768 |
Real period |
R |
0.8184163363058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960i1 9440f1 |
Quadratic twists by: -4 -3 |