Atkin-Lehner |
2- 7- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
83398k |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-993603772 = -1 · 22 · 73 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 0 4 7- -4 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,92,-1501] |
[a1,a2,a3,a4,a6] |
Generators |
[2994:8755:216] |
Generators of the group modulo torsion |
j |
253636137/2896804 |
j-invariant |
L |
12.015873340722 |
L(r)(E,1)/r! |
Ω |
0.76860150600465 |
Real period |
R |
3.9083560361895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83398l1 |
Quadratic twists by: -7 |