Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ez |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-623554273590902784 = -1 · 220 · 36 · 138 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,79092,37015056] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6084:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
2.7207038962938 |
L(r)(E,1)/r! |
Ω |
0.21298034045064 |
Real period |
R |
1.064536395797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bn1 24336bk1 10816y1 97344ev1 |
Quadratic twists by: -4 8 -3 13 |