Atkin-Lehner |
3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005h |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-9541130172795 = -1 · 33 · 5 · 132 · 535 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 2 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-59712,-5618140] |
[a1,a2,a3,a4,a6] |
j |
-872056856707596288/353375191585 |
j-invariant |
L |
3.0540320745021 |
L(r)(E,1)/r! |
Ω |
0.15270160372501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31005b1 |
Quadratic twists by: -3 |