Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344l |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-1027585778012352 = -1 · 26 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355914,81741582] |
[a1,a2,a3,a4,a6] |
Generators |
[68232:3100761:512] |
Generators of the group modulo torsion |
j |
-4852224 |
j-invariant |
L |
8.0421679986977 |
L(r)(E,1)/r! |
Ω |
0.47891737353148 |
Real period |
R |
8.3961957184202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344k1 48672f1 97344u1 97344s1 |
Quadratic twists by: -4 8 -3 13 |