Atkin-Lehner |
2- 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bx |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
260064000 |
Modular degree for the optimal curve |
Δ |
1.5538265148859E+28 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113839284263,-14783779507519137] |
[a1,a2,a3,a4,a6] |
Generators |
[-5258319:2638874:27] |
Generators of the group modulo torsion |
j |
223806478318999562522553252453628201/21314492659614217796583424 |
j-invariant |
L |
10.442902979916 |
L(r)(E,1)/r! |
Ω |
0.0082191426493851 |
Real period |
R |
4.2351955766325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906c1 |
Quadratic twists by: -3 |