Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072ce |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-307494912 = -1 · 218 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 5 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,-17247] |
[a1,a2,a3,a4,a6] |
Generators |
[8305:53984:125] |
Generators of the group modulo torsion |
j |
-887503681/1173 |
j-invariant |
L |
8.9409554531641 |
L(r)(E,1)/r! |
Ω |
0.39895105392246 |
Real period |
R |
5.6027897186061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072bh1 18768y1 |
Quadratic twists by: -4 8 |