Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640f |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
1.1378607732621E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26392335,9473336892] |
[a1,a2,a3,a4,a6] |
Generators |
[-4248:211926:1] |
Generators of the group modulo torsion |
j |
127068291676209529117751296/71116298328879702361125 |
j-invariant |
L |
4.1457223025304 |
L(r)(E,1)/r! |
Ω |
0.075106124814325 |
Real period |
R |
3.0665662256643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59280u1 88920bg1 |
Quadratic twists by: -4 -3 |