Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425bc |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-172240710241015625 = -1 · 58 · 1110 · 17 |
Discriminant |
Eigenvalues |
-1 1 5- -3 11- 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,126987,-9753358] |
[a1,a2,a3,a4,a6] |
Generators |
[538:14372:1] |
Generators of the group modulo torsion |
j |
327254135/248897 |
j-invariant |
L |
3.950145771346 |
L(r)(E,1)/r! |
Ω |
0.17956654495406 |
Real period |
R |
1.8331856547415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425q1 4675o1 |
Quadratic twists by: 5 -11 |