Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450o |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-12250 = -1 · 2 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
-189/2 |
j-invariant |
L |
2.3232825936077 |
L(r)(E,1)/r! |
Ω |
3.4139127421632 |
Real period |
R |
0.34026683882606 |
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 |
19600dp1 78400ed1 22050fr1 2450be1 |
Quadratic twists by: -4 8 -3 5 |