Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bg |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
275520 |
Modular degree for the optimal curve |
Δ |
-730904706787500 = -1 · 22 · 32 · 55 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-68479,-7024594] |
[a1,a2,a3,a4,a6] |
Generators |
[8625:47774:27] |
Generators of the group modulo torsion |
j |
-125720594041/2587500 |
j-invariant |
L |
4.7197935727986 |
L(r)(E,1)/r! |
Ω |
0.14738439988341 |
Real period |
R |
8.0059246035058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430fl1 33810o1 |
Quadratic twists by: -3 -7 |