Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ep |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6577379677915200 = -1 · 26 · 33 · 52 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29316,4363866] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:2254:1] |
Generators of the group modulo torsion |
j |
-43538422690006336/102771557467425 |
j-invariant |
L |
5.2297366314031 |
L(r)(E,1)/r! |
Ω |
0.37393663507984 |
Real period |
R |
2.3309370900285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gn1 36960bb2 |
Quadratic twists by: -4 8 |