Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225h |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1472 |
Modular degree for the optimal curve |
Δ |
-532875 = -1 · 3 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 1 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] [21:94:1] |
Generators of the group modulo torsion |
j |
262144/4263 |
j-invariant |
L |
4.9715894978729 |
L(r)(E,1)/r! |
Ω |
1.4284737985842 |
Real period |
R |
0.87008762477849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45675bd1 15225z1 106575cq1 |
Quadratic twists by: -3 5 -7 |