Atkin-Lehner |
2+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4070b |
Isogeny class |
Conductor |
4070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
5730560 = 28 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-63,146] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
27027009001/5730560 |
j-invariant |
L |
1.6289181308032 |
L(r)(E,1)/r! |
Ω |
2.2693162428217 |
Real period |
R |
0.71780129188951 |
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 |
32560n1 36630be1 20350z1 44770t1 |
Quadratic twists by: -4 -3 5 -11 |