Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560w |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-441502034781024000 = -1 · 28 · 36 · 53 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-602260,182514908] |
[a1,a2,a3,a4,a6] |
Generators |
[131:10290:1] |
Generators of the group modulo torsion |
j |
-94370558950289240656/1724617323363375 |
j-invariant |
L |
9.5595797874758 |
L(r)(E,1)/r! |
Ω |
0.29761956574482 |
Real period |
R |
0.35689035681235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280s1 |
Quadratic twists by: -4 |