Atkin-Lehner |
2+ 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
13130b |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
379456 |
Modular degree for the optimal curve |
Δ |
-3.60582625E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 2 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-931698,450794756] |
[a1,a2,a3,a4,a6] |
Generators |
[620:10252:1] |
Generators of the group modulo torsion |
j |
-89443447801995760127641/36058262500000000000 |
j-invariant |
L |
2.6241016147431 |
L(r)(E,1)/r! |
Ω |
0.19327827554676 |
Real period |
R |
0.48488592185096 |
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 |
105040x1 118170s1 65650u1 |
Quadratic twists by: -4 -3 5 |