Atkin-Lehner |
2+ 3+ 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682h |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-97912511986139136 = -1 · 228 · 33 · 11 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11- 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165306,-29889612] |
[a1,a2,a3,a4,a6] |
Generators |
[136980:-4221834:125] |
Generators of the group modulo torsion |
j |
-18502366410368904699/3626389332819968 |
j-invariant |
L |
2.2970455709991 |
L(r)(E,1)/r! |
Ω |
0.11714577293881 |
Real period |
R |
2.4510547384197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998094031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682y1 |
Quadratic twists by: -3 |