Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bz |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-978993971200000 = -1 · 218 · 55 · 72 · 293 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6480,1494100] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-1450:1] |
Generators of the group modulo torsion |
j |
149908300031/4877800000 |
j-invariant |
L |
4.6900301326543 |
L(r)(E,1)/r! |
Ω |
0.37309011235138 |
Real period |
R |
0.4190256787629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210t1 113680w1 |
Quadratic twists by: -4 -7 |