Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360hb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
27061654634784000 = 28 · 37 · 53 · 74 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-698805,224472303] |
[a1,a2,a3,a4,a6] |
Generators |
[-369:-20790:1] |
Generators of the group modulo torsion |
j |
61398847532302336/44027317125 |
j-invariant |
L |
10.671111150755 |
L(r)(E,1)/r! |
Ω |
0.37181833166159 |
Real period |
R |
0.04555523524703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340g1 129360ec1 |
Quadratic twists by: -4 -7 |