Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bt |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-465633280 = -1 · 216 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 3 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133,-854] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1574:1] |
Generators of the group modulo torsion |
j |
1296351/2320 |
j-invariant |
L |
7.4300376445069 |
L(r)(E,1)/r! |
Ω |
0.87264552082095 |
Real period |
R |
4.2571911677741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210s1 113680u1 |
Quadratic twists by: -4 -7 |