Atkin-Lehner |
3- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835q |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11801088 |
Modular degree for the optimal curve |
Δ |
-4.9429793692823E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-180919623,-936649073637] |
[a1,a2,a3,a4,a6] |
Generators |
[85471302102789350812668921498765298682758776212056:7596893285728382183847239866993319983562033725473125:4364812528405389801591260733804861541493462528] |
Generators of the group modulo torsion |
j |
-898365791166868060153532416/678049296197853195 |
j-invariant |
L |
11.857228442888 |
L(r)(E,1)/r! |
Ω |
0.02058249984551 |
Real period |
R |
72.010376119803 |
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 |
21945bc1 |
Quadratic twists by: -3 |