Atkin-Lehner |
13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102973a |
Isogeny class |
Conductor |
102973 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1615680 |
Modular degree for the optimal curve |
Δ |
97176242765477213 = 133 · 897 |
Discriminant |
Eigenvalues |
2 -2 2 1 4 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-414532,-101764681] |
[a1,a2,a3,a4,a6] |
Generators |
[-41983515314406:108967419010007:117504998792] |
Generators of the group modulo torsion |
j |
15851081728/195533 |
j-invariant |
L |
12.769385739454 |
L(r)(E,1)/r! |
Ω |
0.18829289353162 |
Real period |
R |
16.954152517325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1157c1 |
Quadratic twists by: 89 |