Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450v |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-94119200 = -1 · 25 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-148,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
4.9589114953157 |
L(r)(E,1)/r! |
Ω |
0.67509797416376 |
Real period |
R |
0.73454693764388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600ch1 78400bp1 22050bm1 2450p3 |
Quadratic twists by: -4 8 -3 5 |