Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650t |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-359015625000 = -1 · 23 · 33 · 59 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -1 -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2325,-52875] |
[a1,a2,a3,a4,a6] |
Generators |
[110920:1536665:512] |
Generators of the group modulo torsion |
j |
-712121957/183816 |
j-invariant |
L |
4.9175904992257 |
L(r)(E,1)/r! |
Ω |
0.33915814413579 |
Real period |
R |
7.2497015106134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997548996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650ds1 |
Quadratic twists by: 5 |