Atkin-Lehner |
2+ 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910bj |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
30162448994549760 = 214 · 310 · 5 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-508303,-139278142] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:568:1] |
Generators of the group modulo torsion |
j |
123453174678896089/256376586240 |
j-invariant |
L |
5.8728552175825 |
L(r)(E,1)/r! |
Ω |
0.17882291676003 |
Real period |
R |
3.2841737066574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590c1 |
Quadratic twists by: -7 |