Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978y |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-235472832 = -1 · 26 · 36 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149,-979] |
[a1,a2,a3,a4,a6] |
Generators |
[33:154:1] |
Generators of the group modulo torsion |
j |
-498677257/323008 |
j-invariant |
L |
8.0588066899515 |
L(r)(E,1)/r! |
Ω |
0.66424836517457 |
Real period |
R |
2.0220365133639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824bm1 1442d1 90846df1 |
Quadratic twists by: -4 -3 -7 |