Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gx |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
33546240 |
Modular degree for the optimal curve |
Δ |
2.2590123433208E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71958363,53897482281] |
[a1,a2,a3,a4,a6] |
Generators |
[-1989:435918:1] |
Generators of the group modulo torsion |
j |
65352943209688399/35827476332544 |
j-invariant |
L |
6.7763720628984 |
L(r)(E,1)/r! |
Ω |
0.05890946612205 |
Real period |
R |
4.4242413236747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822q1 95550kc1 |
Quadratic twists by: 5 -7 |