Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210be |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-6406906609264213080 = -1 · 23 · 33 · 5 · 79 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23521,-121799497] |
[a1,a2,a3,a4,a6] |
Generators |
[23533:3598308:1] |
Generators of the group modulo torsion |
j |
-12232183057921/54457807624920 |
j-invariant |
L |
8.0516414383071 |
L(r)(E,1)/r! |
Ω |
0.10801514499133 |
Real period |
R |
6.2118152034666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030y1 |
Quadratic twists by: -7 |