Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450bb |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
Δ |
-92236816000000000 = -1 · 213 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8363305,9311358697] |
[a1,a2,a3,a4,a6] |
Generators |
[919:48540:1] |
Generators of the group modulo torsion |
j |
-5745702166029/8192 |
j-invariant |
L |
4.4274500985736 |
L(r)(E,1)/r! |
Ω |
0.28779650559405 |
Real period |
R |
0.19723026391088 |
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 |
19600df2 78400dn2 22050cb2 2450l2 |
Quadratic twists by: -4 8 -3 5 |