Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bk |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
13478400 |
Modular degree for the optimal curve |
Δ |
-3.0354987069611E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21889533,-92638043937] |
[a1,a2,a3,a4,a6] |
Generators |
[12353:1233750:1] |
Generators of the group modulo torsion |
j |
-289983461318407020544/758874676740271875 |
j-invariant |
L |
9.6091593678865 |
L(r)(E,1)/r! |
Ω |
0.032445673457323 |
Real period |
R |
0.41133541849708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740b1 |
Quadratic twists by: 5 |