Atkin-Lehner |
2- 3+ 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118992m |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
559612800 |
Modular degree for the optimal curve |
Δ |
-4.4942147117015E+33 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116724889528,-15684649015324304] |
[a1,a2,a3,a4,a6] |
Generators |
[5190430020585869057328882326946:2432997722230531104010431321292294:10190355944272394850362213] |
Generators of the group modulo torsion |
j |
-42939222744886799071658652589101625/1097220388599006473818770112512 |
j-invariant |
L |
6.3778735723479 |
L(r)(E,1)/r! |
Ω |
0.0040777759337048 |
Real period |
R |
43.446024908603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14874b1 |
Quadratic twists by: -4 |