Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610ca |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-10231290501120000 = -1 · 214 · 32 · 54 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28980,-4468755] |
[a1,a2,a3,a4,a6] |
Generators |
[213:-3487:1] |
Generators of the group modulo torsion |
j |
557644990391/2119680000 |
j-invariant |
L |
10.110333205493 |
L(r)(E,1)/r! |
Ω |
0.20658538167272 |
Real period |
R |
0.43696621373078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016644 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
690a1 |
Quadratic twists by: 13 |