Atkin-Lehner |
2+ 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384j |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-5087274605568 = -1 · 210 · 34 · 233 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2352,-98460] |
[a1,a2,a3,a4,a6] |
Generators |
[42:276:1] [126:1488:1] |
Generators of the group modulo torsion |
j |
1404594765500/4968041607 |
j-invariant |
L |
12.205950921102 |
L(r)(E,1)/r! |
Ω |
0.39040512733795 |
Real period |
R |
1.3027013549979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192a1 |
Quadratic twists by: -4 |