Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560j |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
237568 |
Modular degree for the optimal curve |
Δ |
-3446362080000 = -1 · 28 · 38 · 54 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3585,-120483] |
[a1,a2,a3,a4,a6] |
Generators |
[84:405:1] |
Generators of the group modulo torsion |
j |
-19910050579456/13462351875 |
j-invariant |
L |
6.6875379164344 |
L(r)(E,1)/r! |
Ω |
0.29946785992378 |
Real period |
R |
1.3957127657725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56280k1 |
Quadratic twists by: -4 |