Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480ef |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-73984000000000 = -1 · 217 · 59 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -5 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10495,-1025] |
[a1,a2,a3,a4,a6] |
Generators |
[15:400:1] |
Generators of the group modulo torsion |
j |
3374596798/1953125 |
j-invariant |
L |
3.8168469483664 |
L(r)(E,1)/r! |
Ω |
0.36583464160425 |
Real period |
R |
0.28981270358489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480ca1 23120f1 92480dr1 |
Quadratic twists by: -4 8 17 |