Atkin-Lehner |
2+ 3+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450r |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1248192 |
Modular degree for the optimal curve |
Δ |
-15620813965952250 = -1 · 2 · 3 · 53 · 1111 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50440,4162050] |
[a1,a2,a3,a4,a6] |
Generators |
[945:29475:1] |
Generators of the group modulo torsion |
j |
113533879841875459/124966511727618 |
j-invariant |
L |
5.4512185316459 |
L(r)(E,1)/r! |
Ω |
0.26087291788547 |
Real period |
R |
0.94982132720398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450ct1 |
Quadratic twists by: 5 |