Atkin-Lehner |
2- 3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778bd |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-362600895025391616 = -1 · 211 · 36 · 119 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 11- -7 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1999,-28972459] |
[a1,a2,a3,a4,a6] |
Generators |
[523:10386:1] [1403:51570:1] |
Generators of the group modulo torsion |
j |
-498677257/204678752256 |
j-invariant |
L |
10.71939342941 |
L(r)(E,1)/r! |
Ω |
0.13827973286068 |
Real period |
R |
0.88090486183155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798e1 |
Quadratic twists by: -11 |