Atkin-Lehner |
13+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120497a |
Isogeny class |
Conductor |
120497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3405696 |
Modular degree for the optimal curve |
Δ |
-4966848873006356947 = -1 · 1313 · 232 · 31 |
Discriminant |
Eigenvalues |
2 2 2 2 -5 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-323522,-128398697] |
[a1,a2,a3,a4,a6] |
Generators |
[421717689908475538528216:15415972884517878351380017:265012094015301961216] |
Generators of the group modulo torsion |
j |
-775847556739072/1029012930283 |
j-invariant |
L |
24.3315915676 |
L(r)(E,1)/r! |
Ω |
0.095400261891281 |
Real period |
R |
31.880928685668 |
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 |
9269a1 |
Quadratic twists by: 13 |