Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525w |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
227177187890625 = 311 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3739167,-2782047384] |
[a1,a2,a3,a4,a6] |
Generators |
[2248:11868:1] |
Generators of the group modulo torsion |
j |
507575685387993769/19944225 |
j-invariant |
L |
6.2083930396985 |
L(r)(E,1)/r! |
Ω |
0.10856899925786 |
Real period |
R |
7.1479808716193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35175z1 21105k1 |
Quadratic twists by: -3 5 |