Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405l |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
370717003125 = 310 · 55 · 72 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1848,-8766] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:121:1] |
Generators of the group modulo torsion |
j |
19539165184/10378125 |
j-invariant |
L |
5.4831677571298 |
L(r)(E,1)/r! |
Ω |
0.77341762092974 |
Real period |
R |
1.7723826078587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135bd1 90405bh1 |
Quadratic twists by: -3 -7 |