Atkin-Lehner |
2+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410n |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
116056800 |
Modular degree for the optimal curve |
Δ |
1.4476511240005E+28 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-701177923,-4190682416994] |
[a1,a2,a3,a4,a6] |
Generators |
[-116567812:11570910882:6859] |
Generators of the group modulo torsion |
j |
15878747840667096001299869641/6029367446899414062500000 |
j-invariant |
L |
4.0376600386011 |
L(r)(E,1)/r! |
Ω |
0.030290312213567 |
Real period |
R |
14.81096966118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999544187 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102410f1 |
Quadratic twists by: -7 |