Atkin-Lehner |
2- 3+ 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510w |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
2010624 |
Modular degree for the optimal curve |
Δ |
-41643221188608000 = -1 · 222 · 33 · 53 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -6 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,80578,-4366131] |
[a1,a2,a3,a4,a6] |
Generators |
[1337:-50589:1] |
Generators of the group modulo torsion |
j |
2142961910977997277/1542341525504000 |
j-invariant |
L |
7.4177053855598 |
L(r)(E,1)/r! |
Ω |
0.20352318486153 |
Real period |
R |
0.069027440673795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999100106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510a1 |
Quadratic twists by: -3 |