Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540s |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
23143680 = 28 · 32 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205,1177] |
[a1,a2,a3,a4,a6] |
Generators |
[7:6:1] |
Generators of the group modulo torsion |
j |
76324864/1845 |
j-invariant |
L |
6.9988633790517 |
L(r)(E,1)/r! |
Ω |
2.1332516803066 |
Real period |
R |
0.54680713039733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540w1 |
Quadratic twists by: -7 |