Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700f |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1233750000 = -1 · 24 · 3 · 57 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-658,6937] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-25:1] |
Generators of the group modulo torsion |
j |
-126217984/4935 |
j-invariant |
L |
5.0119685964077 |
L(r)(E,1)/r! |
Ω |
1.5232381811619 |
Real period |
R |
0.27419484091285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740q1 |
Quadratic twists by: 5 |