Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bo |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
7.0633469046483E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2391386,-1365739561] |
[a1,a2,a3,a4,a6] |
Generators |
[-1964288169237:-14064051449011:2444008923] |
Generators of the group modulo torsion |
j |
853722366857003449/39870751866000 |
j-invariant |
L |
8.8122568019597 |
L(r)(E,1)/r! |
Ω |
0.12175638610485 |
Real period |
R |
18.094034145767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b1 |
Quadratic twists by: -11 |