Atkin-Lehner |
2+ 7- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002c |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-153182292172 = -1 · 22 · 79 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2770,58944] |
[a1,a2,a3,a4,a6] |
Generators |
[46:148:1] |
Generators of the group modulo torsion |
j |
-19968681097/1302028 |
j-invariant |
L |
3.4921720065163 |
L(r)(E,1)/r! |
Ω |
1.0105731611842 |
Real period |
R |
0.43195437876675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286c1 |
Quadratic twists by: -7 |