Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350ba |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-338970298800 = -1 · 24 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-32882] |
[a1,a2,a3,a4,a6] |
Generators |
[211:2912:1] |
Generators of the group modulo torsion |
j |
-30625/48 |
j-invariant |
L |
3.6256506219494 |
L(r)(E,1)/r! |
Ω |
0.38050034614167 |
Real period |
R |
4.7643197420371 |
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 |
58800fx1 22050ek1 7350ce1 7350b1 |
Quadratic twists by: -4 -3 5 -7 |