Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376t |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-593016458231808 = -1 · 214 · 312 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -1 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17147,796835] |
[a1,a2,a3,a4,a6] |
Generators |
[182:3159:1] |
Generators of the group modulo torsion |
j |
34028506496000/36194852187 |
j-invariant |
L |
8.8598934442107 |
L(r)(E,1)/r! |
Ω |
0.34166133322122 |
Real period |
R |
0.72032778455008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376be1 9672f1 |
Quadratic twists by: -4 8 |