Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150bh |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
2764751500 = 22 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -5 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-352,356] |
[a1,a2,a3,a4,a6] |
j |
328509/188 |
j-invariant |
L |
4.9134555082134 |
L(r)(E,1)/r! |
Ω |
1.2283640209829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cw1 2350g1 |
Quadratic twists by: 5 -7 |