Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778u |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
1780091650326528 = 214 · 39 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-940643,351059841] |
[a1,a2,a3,a4,a6] |
Generators |
[1342:-39479:1] |
Generators of the group modulo torsion |
j |
92044580942235223464625/1780091650326528 |
j-invariant |
L |
7.5887287346112 |
L(r)(E,1)/r! |
Ω |
0.43334515646539 |
Real period |
R |
0.13898391370403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224br1 26334n1 61446cb1 96558bf1 |
Quadratic twists by: -4 -3 -7 -11 |