Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760k |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-40507614000 = -1 · 24 · 310 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275,-9750] |
[a1,a2,a3,a4,a6] |
Generators |
[30:90:1] |
Generators of the group modulo torsion |
j |
-420616192/7381125 |
j-invariant |
L |
4.0498372106793 |
L(r)(E,1)/r! |
Ω |
0.49333074346081 |
Real period |
R |
2.7363908590472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5880bh1 47040ft1 35280ba1 58800cr1 |
Quadratic twists by: -4 8 -3 5 |