Atkin-Lehner |
2- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76874z |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1336608 |
Modular degree for the optimal curve |
Δ |
-7075915477949997056 = -1 · 213 · 73 · 178 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 2 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1229990,540320228] |
[a1,a2,a3,a4,a6] |
Generators |
[-1132:22530:1] |
Generators of the group modulo torsion |
j |
-29501024951521/1014358016 |
j-invariant |
L |
12.176959782424 |
L(r)(E,1)/r! |
Ω |
0.23460074153765 |
Real period |
R |
0.66544917116646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76874bb1 |
Quadratic twists by: 17 |