Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5355t |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-31894276246875 = -1 · 36 · 55 · 77 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3903,254992] |
[a1,a2,a3,a4,a6] |
Generators |
[307:5512:1] |
Generators of the group modulo torsion |
j |
9019694698496/43750721875 |
j-invariant |
L |
2.0441804818002 |
L(r)(E,1)/r! |
Ω |
0.47270020520683 |
Real period |
R |
0.061778222200377 |
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 |
85680fl1 595b1 26775z1 37485z1 |
Quadratic twists by: -4 -3 5 -7 |