Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360o |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.3035016114012E+31 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5876807776,-326405179429260] |
[a1,a2,a3,a4,a6] |
Generators |
[256886893530453930701506717133695853246565725446045265964301956:-150118677989330962770403529183951414320863556457894708219460156250:712942820987885316774213799974818539981543603745460006843] |
Generators of the group modulo torsion |
j |
-5480096689900737783833806440289/8065189480960000000000000000 |
j-invariant |
L |
2.9304947379732 |
L(r)(E,1)/r! |
Ω |
0.0081896692240279 |
Real period |
R |
89.457057217592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996741339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170i2 |
Quadratic twists by: -4 |