Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ea |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-5957741971708800 = -1 · 27 · 3 · 52 · 710 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13694,3663188] |
[a1,a2,a3,a4,a6] |
Generators |
[95280:2624831:125] |
Generators of the group modulo torsion |
j |
96567729935/2025598848 |
j-invariant |
L |
5.1205906980774 |
L(r)(E,1)/r! |
Ω |
0.31827238035295 |
Real period |
R |
8.0443528960599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550in1 13650m1 |
Quadratic twists by: 5 -7 |