Atkin-Lehner |
2+ 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58072c |
Isogeny class |
Conductor |
58072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145536 |
Modular degree for the optimal curve |
Δ |
-487600453458944 = -1 · 210 · 7 · 173 · 614 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1541,1062150] |
[a1,a2,a3,a4,a6] |
j |
395213409468/476172317831 |
j-invariant |
L |
2.4606953770119 |
L(r)(E,1)/r! |
Ω |
0.41011589608539 |
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 |
116144c1 |
Quadratic twists by: -4 |