Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4447872 |
Modular degree for the optimal curve |
Δ |
-2.9305687980442E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2599748,1633215431] |
[a1,a2,a3,a4,a6] |
Generators |
[2420:2506193:64] |
Generators of the group modulo torsion |
j |
-72521367806261/1093705578 |
j-invariant |
L |
10.037576524043 |
L(r)(E,1)/r! |
Ω |
0.21010476735501 |
Real period |
R |
7.9623581658583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050dw1 127050bt1 |
Quadratic twists by: 5 -11 |