Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bd |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12082176 |
Modular degree for the optimal curve |
Δ |
1.1833967849094E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58181331,-42237375154] |
[a1,a2,a3,a4,a6] |
Generators |
[-3914:354294:1] |
Generators of the group modulo torsion |
j |
86323786849188610514/46901442470561469 |
j-invariant |
L |
5.7921924162363 |
L(r)(E,1)/r! |
Ω |
0.058305346254667 |
Real period |
R |
2.7595108197172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28392x1 85176bt1 |
Quadratic twists by: -3 13 |