Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430be |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
292184590377960000 = 26 · 36 · 54 · 77 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-811890,280574356] |
[a1,a2,a3,a4,a6] |
Generators |
[-1027:6026:1] |
Generators of the group modulo torsion |
j |
690080604747409/3406760000 |
j-invariant |
L |
5.4591695031484 |
L(r)(E,1)/r! |
Ω |
0.30929439837565 |
Real period |
R |
2.2062998599109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270u1 14490y1 |
Quadratic twists by: -3 -7 |