Atkin-Lehner |
3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545c |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7392000 |
Modular degree for the optimal curve |
Δ |
-4.7669298242549E+24 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 3 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-52186555,-179120478597] |
[a1,a2,a3,a4,a6] |
Generators |
[370340804011431:77461199854578728:8230172859] |
Generators of the group modulo torsion |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
4.01932822119 |
L(r)(E,1)/r! |
Ω |
0.027654509231769 |
Real period |
R |
18.167598760769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2415b1 |
Quadratic twists by: -23 |