Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482cy |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
3107773000787665392 = 24 · 320 · 73 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-367900,13503776] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:9698:1] |
Generators of the group modulo torsion |
j |
16055322344048906407/9060562684512144 |
j-invariant |
L |
10.186483372959 |
L(r)(E,1)/r! |
Ω |
0.21776912720101 |
Real period |
R |
0.29235329171202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482cd2 |
Quadratic twists by: -7 |