Atkin-Lehner |
2- 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550da |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-5.4900001303104E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,82876312,206773180992] |
[a1,a2,a3,a4,a6] |
Generators |
[-1328:307864:1] |
Generators of the group modulo torsion |
j |
4028978370557978310924359/3513600083398659932160 |
j-invariant |
L |
12.094296733396 |
L(r)(E,1)/r! |
Ω |
0.040903229690983 |
Real period |
R |
0.44000108335215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910k1 |
Quadratic twists by: 5 |