Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700bb |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-233125452000000 = -1 · 28 · 311 · 56 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 6 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14867,234863] |
[a1,a2,a3,a4,a6] |
Generators |
[233:4050:1] |
Generators of the group modulo torsion |
j |
90845732864/58281363 |
j-invariant |
L |
9.2193050367688 |
L(r)(E,1)/r! |
Ω |
0.34748331028669 |
Real period |
R |
0.40199467428358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3948a1 |
Quadratic twists by: 5 |