Atkin-Lehner |
2- 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
97236b |
Isogeny class |
Conductor |
97236 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-43172784 = -1 · 24 · 33 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,305] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] [7:30:1] |
Generators of the group modulo torsion |
j |
11943936/99937 |
j-invariant |
L |
11.981976551722 |
L(r)(E,1)/r! |
Ω |
1.4835334192479 |
Real period |
R |
2.692215849068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97236d1 |
Quadratic twists by: -3 |