Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
113760g |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-136512000000 = -1 · 212 · 33 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 3 -5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,17344] |
[a1,a2,a3,a4,a6] |
Generators |
[38:300:1] |
Generators of the group modulo torsion |
j |
102503232/1234375 |
j-invariant |
L |
7.9130934458522 |
L(r)(E,1)/r! |
Ω |
0.76547040534745 |
Real period |
R |
0.2153657563484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760e1 113760z1 |
Quadratic twists by: -4 -3 |