Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2790c |
Isogeny class |
Conductor |
2790 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
70212648960000000 = 230 · 33 · 57 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118599,-9168707] |
[a1,a2,a3,a4,a6] |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
1.8594576523717 |
L(r)(E,1)/r! |
Ω |
0.26563680748167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22320bb1 89280b1 2790n1 13950bt1 |
Quadratic twists by: -4 8 -3 5 |