Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1968d |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-4287437568 = -1 · 28 · 35 · 413 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -1 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369,-4293] |
[a1,a2,a3,a4,a6] |
Generators |
[54:369:1] |
Generators of the group modulo torsion |
j |
-21764027392/16747803 |
j-invariant |
L |
3.1846476189352 |
L(r)(E,1)/r! |
Ω |
0.52699921000293 |
Real period |
R |
0.40286557784624 |
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 |
984c1 7872x1 5904d1 49200h1 |
Quadratic twists by: -4 8 -3 5 |