Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440cg |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6577509866004480 = -1 · 213 · 3 · 5 · 134 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74560,8778880] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1218:1] |
Generators of the group modulo torsion |
j |
-11191473918930241/1605837369630 |
j-invariant |
L |
7.6232681487958 |
L(r)(E,1)/r! |
Ω |
0.4081793250349 |
Real period |
R |
4.6690680545469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999483266 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430br4 |
Quadratic twists by: -4 |