Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450y |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-51471437500 = -1 · 22 · 56 · 77 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-12608] |
[a1,a2,a3,a4,a6] |
Generators |
[88:740:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
3.3629720129559 |
L(r)(E,1)/r! |
Ω |
0.44809782432921 |
Real period |
R |
1.8762487956676 |
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 |
19600cp1 78400cc1 22050bi1 98a1 |
Quadratic twists by: -4 8 -3 5 |