Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896bb |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15137280 |
Modular degree for the optimal curve |
Δ |
1045172279094728976 = 24 · 34 · 738 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 -1 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-278665844,-1790590414011] |
[a1,a2,a3,a4,a6] |
Generators |
[-3100183475927289770785:8006965030310690013:321657080772681809] |
Generators of the group modulo torsion |
j |
185469316678912/81 |
j-invariant |
L |
9.0439936546369 |
L(r)(E,1)/r! |
Ω |
0.036951206178594 |
Real period |
R |
30.594379013384 |
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 |
127896bd1 |
Quadratic twists by: 73 |