Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488cl |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2.6472998280944E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848353,838319999] |
[a1,a2,a3,a4,a6] |
Generators |
[-1037:24576:1] |
Generators of the group modulo torsion |
j |
-44681709625/175177728 |
j-invariant |
L |
8.1437166449648 |
L(r)(E,1)/r! |
Ω |
0.15228999239348 |
Real period |
R |
2.6737530503146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488es1 3234a1 103488bo1 |
Quadratic twists by: -4 8 -7 |