Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760l |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1220293075680000 = -1 · 28 · 33 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3902425,2968523125] |
[a1,a2,a3,a4,a6] |
Generators |
[1140:55:1] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
4.3302378662692 |
L(r)(E,1)/r! |
Ω |
0.38306365571449 |
Real period |
R |
2.8260563235844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5880m1 47040ga1 35280bi1 58800da1 |
Quadratic twists by: -4 8 -3 5 |