Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480cr |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
2232242381120 = 26 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 3 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8748415,9956690895] |
[a1,a2,a3,a4,a6] |
Generators |
[6014:418205:1] |
Generators of the group modulo torsion |
j |
165859574316544/5 |
j-invariant |
L |
3.6895601429817 |
L(r)(E,1)/r! |
Ω |
0.43496515721308 |
Real period |
R |
8.4824268762356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480co1 46240f1 92480r1 |
Quadratic twists by: -4 8 17 |