Atkin-Lehner |
3+ 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118575d |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
297216 |
Modular degree for the optimal curve |
Δ |
-6623377171875 = -1 · 33 · 56 · 17 · 314 |
Discriminant |
Eigenvalues |
2 3+ 5+ -2 -3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3525,-147719] |
[a1,a2,a3,a4,a6] |
j |
-11481993216/15699857 |
j-invariant |
L |
1.179968421607 |
L(r)(E,1)/r! |
Ω |
0.29499251518063 |
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 |
118575a1 4743a1 |
Quadratic twists by: -3 5 |