Atkin-Lehner |
3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175be |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36274176 |
Modular degree for the optimal curve |
Δ |
4.5080964572681E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-226938401,-829446415177] |
[a1,a2,a3,a4,a6] |
Generators |
[9748559220897860404641564459937642571:6077821120863327095955317015104924759551:25001991000601487896479677804071] |
Generators of the group modulo torsion |
j |
82723262651056423666303489/28851817326516033320625 |
j-invariant |
L |
9.5434246590981 |
L(r)(E,1)/r! |
Ω |
0.040009324614864 |
Real period |
R |
59.632502877198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635b1 |
Quadratic twists by: 5 |