Atkin-Lehner |
3- 5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67545f |
Isogeny class |
Conductor |
67545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-103951755 = -1 · 36 · 5 · 192 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 3 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87,378] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
99897344/142595 |
j-invariant |
L |
2.4695434640371 |
L(r)(E,1)/r! |
Ω |
1.2766662275874 |
Real period |
R |
0.96718445687639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7505d1 |
Quadratic twists by: -3 |