Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624a |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-20342448 = -1 · 24 · 33 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,-215] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
1492992/47089 |
j-invariant |
L |
2.6969138283115 |
L(r)(E,1)/r! |
Ω |
1.041662397862 |
Real period |
R |
0.64726197130832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248h1 124992i1 15624p1 109368h1 |
Quadratic twists by: -4 8 -3 -7 |