Atkin-Lehner |
2- 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070s |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
4.3808195992781E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013042,229627441] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-15121:1] |
Generators of the group modulo torsion |
j |
5841365368685656347/2225686937600000 |
j-invariant |
L |
11.507910421532 |
L(r)(E,1)/r! |
Ω |
0.18484203249624 |
Real period |
R |
0.23058548899406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070b1 |
Quadratic twists by: -3 |