Atkin-Lehner |
3+ 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775m |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1.1811732158021E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 6 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6572575,-6490466000] |
[a1,a2,a3,a4,a6] |
Generators |
[11107182424503258460926092817671030982173538:-770247747651096385322376950450616901143401893:1847638546513586755317104739647772862232] |
Generators of the group modulo torsion |
j |
-16076830317572843909/6047606864907 |
j-invariant |
L |
6.1081051349344 |
L(r)(E,1)/r! |
Ω |
0.047143938659479 |
Real period |
R |
64.781447081175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325ca1 32775bf1 |
Quadratic twists by: -3 5 |