Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448i |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-66393663849216 = -1 · 28 · 36 · 115 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10116,-18036] |
[a1,a2,a3,a4,a6] |
Generators |
[55279:825931:343] |
Generators of the group modulo torsion |
j |
613454957568/355761659 |
j-invariant |
L |
5.4173887302096 |
L(r)(E,1)/r! |
Ω |
0.36744834060262 |
Real period |
R |
7.3716331431702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224h1 8272f1 |
Quadratic twists by: -4 -3 |