Atkin-Lehner |
2- 3- 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418bb |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
304640 |
Modular degree for the optimal curve |
Δ |
-129804954592896 = -1 · 27 · 311 · 114 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1831,-547783] |
[a1,a2,a3,a4,a6] |
Generators |
[105:838:1] |
Generators of the group modulo torsion |
j |
931716020663/178058922624 |
j-invariant |
L |
7.2476354063078 |
L(r)(E,1)/r! |
Ω |
0.27599632066508 |
Real period |
R |
0.23446338069161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25806c1 |
Quadratic twists by: -3 |