Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550bt |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-699811200000000 = -1 · 213 · 32 · 58 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6513,1286031] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1232:1] [-109:900:1] |
Generators of the group modulo torsion |
j |
-78218787505/1791516672 |
j-invariant |
L |
12.263374207027 |
L(r)(E,1)/r! |
Ω |
0.42686974415044 |
Real period |
R |
0.1841577535057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550w1 |
Quadratic twists by: 5 |