Atkin-Lehner |
2+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28910o |
Isogeny class |
Conductor |
28910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82368 |
Modular degree for the optimal curve |
Δ |
-30203292463750 = -1 · 2 · 54 · 76 · 593 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7668,-52786] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1451:1] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
6.0209562584477 |
L(r)(E,1)/r! |
Ω |
0.38387198100615 |
Real period |
R |
3.9212006582679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
590a1 |
Quadratic twists by: -7 |