Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400da |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-45018750000 = -1 · 24 · 3 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4083,-99588] |
[a1,a2,a3,a4,a6] |
Generators |
[15205:136289:125] |
Generators of the group modulo torsion |
j |
-501760/3 |
j-invariant |
L |
4.7382137044323 |
L(r)(E,1)/r! |
Ω |
0.29851120613712 |
Real period |
R |
7.936408427923 |
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 |
58800dz1 88200df1 29400be1 29400en1 |
Quadratic twists by: -4 -3 5 -7 |