Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268r |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2368445184 = -1 · 28 · 36 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,3332] |
[a1,a2,a3,a4,a6] |
Generators |
[28:126:1] |
Generators of the group modulo torsion |
j |
-65536/37 |
j-invariant |
L |
8.1802681748103 |
L(r)(E,1)/r! |
Ω |
1.3488495875442 |
Real period |
R |
0.50538549359056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7252b1 65268s1 |
Quadratic twists by: -3 -7 |