Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080bi |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
8.9772794925023E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1136696,99262320] |
[a1,a2,a3,a4,a6] |
Generators |
[-4173:444664:27] |
Generators of the group modulo torsion |
j |
39654925783732534969/21917186260992000 |
j-invariant |
L |
4.9489682697816 |
L(r)(E,1)/r! |
Ω |
0.16568383051171 |
Real period |
R |
7.467488389706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998928036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510d1 |
Quadratic twists by: -4 |