Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650g |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-115856598375000000 = -1 · 26 · 39 · 59 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30333,-16257259] |
[a1,a2,a3,a4,a6] |
j |
10035763893/376712000 |
j-invariant |
L |
1.2783281569546 |
L(r)(E,1)/r! |
Ω |
0.15979104374445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650cn1 19530bk1 |
Quadratic twists by: -3 5 |