Atkin-Lehner |
2+ 3+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318g |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
15730176 |
Modular degree for the optimal curve |
Δ |
-2.8868484290061E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,243318630,2132795085588] |
[a1,a2,a3,a4,a6] |
Generators |
[-3708:1087950:1] |
Generators of the group modulo torsion |
j |
1593124794803458042101325388375/2886848429006136921534667008 |
j-invariant |
L |
3.5647013399223 |
L(r)(E,1)/r! |
Ω |
0.031057005262212 |
Real period |
R |
0.86954015537641 |
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 |
63954s1 |
Quadratic twists by: -3 |