Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15225v |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-719516493675 = -1 · 310 · 52 · 75 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1848,50384] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:175:1] |
Generators of the group modulo torsion |
j |
-27933450833920/28780659747 |
j-invariant |
L |
3.3808990751873 |
L(r)(E,1)/r! |
Ω |
0.82109918482644 |
Real period |
R |
2.0587641162388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
45675ba1 15225k2 106575i1 |
Quadratic twists by: -3 5 -7 |