Atkin-Lehner |
7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107219h |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
56479425290393 = 72 · 177 · 532 |
Discriminant |
Eigenvalues |
-1 -2 4 7- -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10121,150328] |
[a1,a2,a3,a4,a6] |
j |
4750104241/2339897 |
j-invariant |
L |
1.1137052294119 |
L(r)(E,1)/r! |
Ω |
0.55685308877478 |
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 |
6307a1 |
Quadratic twists by: 17 |