Atkin-Lehner |
5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815c |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
7174208372485 = 5 · 78 · 114 · 17 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-248446,47747356] |
[a1,a2,a3,a4,a6] |
Generators |
[286:60:1] |
Generators of the group modulo torsion |
j |
294196273229824/1244485 |
j-invariant |
L |
1.5559677135756 |
L(r)(E,1)/r! |
Ω |
0.65620863540627 |
Real period |
R |
1.1855739391468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45815t1 |
Quadratic twists by: -7 |