Atkin-Lehner |
2+ 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482bq |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
56401920 |
Modular degree for the optimal curve |
Δ |
-1.7832992759338E+26 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86210675,-712555768690] |
[a1,a2,a3,a4,a6] |
j |
-602307957889310585083417/1515779374184046526464 |
j-invariant |
L |
1.568666626519 |
L(r)(E,1)/r! |
Ω |
0.02306863272524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926k1 |
Quadratic twists by: -7 |