Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635h |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
8772823114487145 = 39 · 5 · 79 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2134082,-1199412224] |
[a1,a2,a3,a4,a6] |
Generators |
[-26619482430684:15435235771496:31524548679] |
Generators of the group modulo torsion |
j |
1353266019981/11045 |
j-invariant |
L |
5.1669466642827 |
L(r)(E,1)/r! |
Ω |
0.12490994224939 |
Real period |
R |
20.682687709178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635c1 103635d1 |
Quadratic twists by: -3 -7 |