Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025p |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-221618316568359375 = -1 · 39 · 59 · 78 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,113695,17155072] |
[a1,a2,a3,a4,a6] |
Generators |
[30244:5244815:1] |
Generators of the group modulo torsion |
j |
35937/49 |
j-invariant |
L |
2.6608648603782 |
L(r)(E,1)/r! |
Ω |
0.21249020664093 |
Real period |
R |
6.2611470487074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11025n1 11025m1 1575b1 |
Quadratic twists by: -3 5 -7 |