Atkin-Lehner |
2- 3+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482by |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
75220992 |
Modular degree for the optimal curve |
Δ |
-5.7857362143772E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -1 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3599705817,-83129756107161] |
[a1,a2,a3,a4,a6] |
Generators |
[39797702974386005100705:17311807835862890680295112:190600775914412375] |
Generators of the group modulo torsion |
j |
-894829764705004093336248913/100363155889980672 |
j-invariant |
L |
11.199325726908 |
L(r)(E,1)/r! |
Ω |
0.0097454703302077 |
Real period |
R |
35.911958798033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482cr1 |
Quadratic twists by: -7 |