Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430cv |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
44642766262500 = 22 · 39 · 55 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15203,-642113] |
[a1,a2,a3,a4,a6] |
Generators |
[13204:136061:64] |
Generators of the group modulo torsion |
j |
57557166381/6612500 |
j-invariant |
L |
9.9990891117295 |
L(r)(E,1)/r! |
Ω |
0.43316985861025 |
Real period |
R |
5.770882310907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430o1 101430de1 |
Quadratic twists by: -3 -7 |