Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370i |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-163814400000000 = -1 · 216 · 34 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53200,4740785] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:2583:1] |
Generators of the group modulo torsion |
j |
-16651720753282540801/163814400000000 |
j-invariant |
L |
4.0211037459999 |
L(r)(E,1)/r! |
Ω |
0.57685072741329 |
Real period |
R |
1.7426968342535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
18960w1 75840v1 7110e1 11850l1 |
Quadratic twists by: -4 8 -3 5 |