Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520by |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2045952000000 = -1 · 217 · 33 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1345,-70943] |
[a1,a2,a3,a4,a6] |
Generators |
[69:400:1] |
Generators of the group modulo torsion |
j |
-2054487458/15609375 |
j-invariant |
L |
4.5100514559985 |
L(r)(E,1)/r! |
Ω |
0.34823771558514 |
Real period |
R |
0.5396279674958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520bg1 8880h1 106560ek1 |
Quadratic twists by: -4 8 -3 |