Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855d |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-3.2510022533506E+19 |
Discriminant |
Eigenvalues |
1 2 5+ 4 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-925943,-439551112] |
[a1,a2,a3,a4,a6] |
Generators |
[3049395779811786290200654126634751729036090564504:-252932139477417106410698988903682174433029722654224:439488664522791144006171583242146700663462243] |
Generators of the group modulo torsion |
j |
-98925223576249/36630859375 |
j-invariant |
L |
11.523197352183 |
L(r)(E,1)/r! |
Ω |
0.075556018064163 |
Real period |
R |
76.255986269278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1705a1 |
Quadratic twists by: -31 |