Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550cc |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
1232 |
Product of Tamagawa factors cp |
deg |
14784000 |
Modular degree for the optimal curve |
Δ |
5.2818607551283E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29191388,49621573392] |
[a1,a2,a3,a4,a6] |
Generators |
[1336:113380:1] |
Generators of the group modulo torsion |
j |
1408503434548327546157/270431270662569984 |
j-invariant |
L |
13.360261254136 |
L(r)(E,1)/r! |
Ω |
0.087924151361809 |
Real period |
R |
0.49335104096381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77550k1 |
Quadratic twists by: 5 |