Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978n |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
6.0268031964895E+27 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1631409674,25085317546775] |
[a1,a2,a3,a4,a6] |
Generators |
[1690245419:7726690337:79507] |
Generators of the group modulo torsion |
j |
145522445882936669/1826434842624 |
j-invariant |
L |
7.8349115226068 |
L(r)(E,1)/r! |
Ω |
0.042665365528373 |
Real period |
R |
12.242422675839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117978h3 |
Quadratic twists by: 53 |