Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570i |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1203840 |
Modular degree for the optimal curve |
Δ |
-292025376562500000 = -1 · 25 · 34 · 511 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1622807,-796799499] |
[a1,a2,a3,a4,a6] |
Generators |
[2297:-88336:1] |
Generators of the group modulo torsion |
j |
-196848716457425398681/121626562500000 |
j-invariant |
L |
3.2514705215953 |
L(r)(E,1)/r! |
Ω |
0.066878528996658 |
Real period |
R |
1.1049444181427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570ba1 |
Quadratic twists by: -7 |