Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650db |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.6952436459E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3029630,-2835414003] |
[a1,a2,a3,a4,a6] |
Generators |
[3299:-153525:1] |
Generators of the group modulo torsion |
j |
-269988211034534161/148827974400000 |
j-invariant |
L |
10.922495519263 |
L(r)(E,1)/r! |
Ω |
0.055785803235955 |
Real period |
R |
1.1124628486927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550b1 19530n1 |
Quadratic twists by: -3 5 |