Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bb |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
2.9196842184213E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-966328928,11561988914606] |
[a1,a2,a3,a4,a6] |
Generators |
[68121:-16215821:1] |
Generators of the group modulo torsion |
j |
848223721252993721120426089/24816906377625600 |
j-invariant |
L |
6.7759179390332 |
L(r)(E,1)/r! |
Ω |
0.10452920893869 |
Real period |
R |
2.1607733721819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030b1 |
Quadratic twists by: -7 |