Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cy |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
3.8648852294664E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15227346,-22870275324] |
[a1,a2,a3,a4,a6] |
Generators |
[6980:455774:1] |
Generators of the group modulo torsion |
j |
1138419279070642590770503/112678869663744000 |
j-invariant |
L |
9.8954608994346 |
L(r)(E,1)/r! |
Ω |
0.076426871066564 |
Real period |
R |
2.1579366788452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430ce1 33810co1 |
Quadratic twists by: -3 -7 |