Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bz |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
2376192 |
Modular degree for the optimal curve |
Δ |
383462474731315200 = 213 · 33 · 52 · 132 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-777650,262459057] |
[a1,a2,a3,a4,a6] |
Generators |
[3265:178703:1] |
Generators of the group modulo torsion |
j |
77049876107927631195/568092555157504 |
j-invariant |
L |
7.7115677977465 |
L(r)(E,1)/r! |
Ω |
0.30237530305201 |
Real period |
R |
0.070064008647024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450b1 99450k1 |
Quadratic twists by: -3 5 |