Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950x |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-143957871820800 = -1 · 220 · 311 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45027,-3711339] |
[a1,a2,a3,a4,a6] |
Generators |
[50670:808713:125] |
Generators of the group modulo torsion |
j |
-553962845641945/7898923008 |
j-invariant |
L |
3.2245238908287 |
L(r)(E,1)/r! |
Ω |
0.16373163849424 |
Real period |
R |
4.9234893153259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600dv1 4650bl1 13950db2 |
Quadratic twists by: -4 -3 5 |