Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400t |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5196800 |
Modular degree for the optimal curve |
Δ |
-2.135470612835E+20 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7681833,8227599037] |
[a1,a2,a3,a4,a6] |
Generators |
[-2033:124250:1] |
Generators of the group modulo torsion |
j |
-100264767008328704/427094122567 |
j-invariant |
L |
6.1639407813671 |
L(r)(E,1)/r! |
Ω |
0.17848192845923 |
Real period |
R |
0.43169222080682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99400i1 |
Quadratic twists by: 5 |