Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bp |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
55995059531250000 = 24 · 311 · 510 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95700,-478375] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3125:1] |
Generators of the group modulo torsion |
j |
531853459456/307243125 |
j-invariant |
L |
7.8729428705175 |
L(r)(E,1)/r! |
Ω |
0.29654085826087 |
Real period |
R |
2.2124390429683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35700k1 21420i1 |
Quadratic twists by: -3 5 |