Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575s |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1201045833203125 = 58 · 72 · 137 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35208,1931568] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:1487:1] [-108:2112:1] |
Generators of the group modulo torsion |
j |
2560000/637 |
j-invariant |
L |
3.4747459863553 |
L(r)(E,1)/r! |
Ω |
0.45605647160214 |
Real period |
R |
0.3174630594678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29575l1 2275h1 |
Quadratic twists by: 5 13 |