Atkin-Lehner |
3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425t |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
82294277009765625 = 39 · 59 · 73 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-187430,-27970428] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:965:1] |
Generators of the group modulo torsion |
j |
511424215973/57797901 |
j-invariant |
L |
3.1140388092257 |
L(r)(E,1)/r! |
Ω |
0.23113809048614 |
Real period |
R |
3.3681582817049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000367601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41475i1 124425z1 |
Quadratic twists by: -3 5 |