Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gk |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2285621452800000000 = -1 · 219 · 313 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439500,133670000] |
[a1,a2,a3,a4,a6] |
Generators |
[46:10656:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
6.3594739195487 |
L(r)(E,1)/r! |
Ω |
0.24704145316276 |
Real period |
R |
3.2178172048124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800pm1 3150p1 33600bh1 100800ev1 |
Quadratic twists by: -4 8 -3 5 |