Atkin-Lehner |
7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
31423c |
Isogeny class |
Conductor |
31423 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
101862379950663661 = 75 · 677 |
Discriminant |
Eigenvalues |
-1 -1 3 7- 0 1 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-356969,80492994] |
[a1,a2,a3,a4,a6] |
Generators |
[262:2113:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
3.5422810911174 |
L(r)(E,1)/r! |
Ω |
0.33589590319286 |
Real period |
R |
0.52728852264146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
469a1 |
Quadratic twists by: -67 |