Atkin-Lehner |
2- 3- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bd |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.8209160570973E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11562161,-15143388703] |
[a1,a2,a3,a4,a6] |
Generators |
[5335:271188:1] |
Generators of the group modulo torsion |
j |
-234483984954923434830793/249782723881664512 |
j-invariant |
L |
6.5064216114378 |
L(r)(E,1)/r! |
Ω |
0.04093380060679 |
Real period |
R |
4.9671829232305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698b1 |
Quadratic twists by: -3 |