Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3040b |
Isogeny class |
Conductor |
3040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-243200 = -1 · 29 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,88] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
-14172488/475 |
j-invariant |
L |
3.8320611032323 |
L(r)(E,1)/r! |
Ω |
3.1078573208833 |
Real period |
R |
0.30825587435133 |
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 |
3040a1 6080l1 27360z1 15200l1 |
Quadratic twists by: -4 8 -3 5 |