Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ga |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-376867495990495125 = -1 · 36 · 53 · 710 · 114 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,96790,27142742] |
[a1,a2,a3,a4,a6] |
j |
3895843/14641 |
j-invariant |
L |
0.85714944651478 |
L(r)(E,1)/r! |
Ω |
0.21428749410872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475q1 121275fs1 121275ez1 |
Quadratic twists by: -3 5 -7 |