Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35880j |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3532800 |
Modular degree for the optimal curve |
Δ |
4.8155694434004E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77354571,-261817709004] |
[a1,a2,a3,a4,a6] |
Generators |
[664038902713391640796132373:-70520479887350362022287219375:39506799238102626028633] |
Generators of the group modulo torsion |
j |
3199349466281064276336216064/300973090212523828125 |
j-invariant |
L |
4.186143301612 |
L(r)(E,1)/r! |
Ω |
0.050907352336326 |
Real period |
R |
41.115311536486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760j1 107640l1 |
Quadratic twists by: -4 -3 |