Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bd |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-118612486956096000 = -1 · 29 · 38 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,16571702] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:1602:1] |
Generators of the group modulo torsion |
j |
-392/1125 |
j-invariant |
L |
4.5937417586104 |
L(r)(E,1)/r! |
Ω |
0.26644633988627 |
Real period |
R |
4.3101940897468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560dp1 23520bm1 70560bf1 |
Quadratic twists by: -4 -3 -7 |