Atkin-Lehner |
2+ 7- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
100646c |
Isogeny class |
Conductor |
100646 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-653424428384 = -1 · 25 · 76 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -3 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1265,34509] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:117:1] |
Generators of the group modulo torsion |
j |
1902014919/5554016 |
j-invariant |
L |
2.5137435009256 |
L(r)(E,1)/r! |
Ω |
0.64036268697293 |
Real period |
R |
3.9254996180747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054b1 |
Quadratic twists by: -7 |