Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128100f |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-175753200 = -1 · 24 · 3 · 52 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14778,696417] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-7:1] |
Generators of the group modulo torsion |
j |
-892360000464640/439383 |
j-invariant |
L |
7.2981868363599 |
L(r)(E,1)/r! |
Ω |
1.4769685061717 |
Real period |
R |
0.41177738938593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128100w1 |
Quadratic twists by: 5 |