Atkin-Lehner |
2- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874be |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-3492802784576 = -1 · 26 · 7 · 177 · 19 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24282,-1469273] |
[a1,a2,a3,a4,a6] |
j |
-65597103937/144704 |
j-invariant |
L |
2.2944161661368 |
L(r)(E,1)/r! |
Ω |
0.19120134823187 |
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 |
4522e1 |
Quadratic twists by: 17 |