Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635x |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
405634838765625 = 36 · 56 · 73 · 473 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133643,18813106] |
[a1,a2,a3,a4,a6] |
Generators |
[-610:43051:8] [80:2897:1] |
Generators of the group modulo torsion |
j |
1055693057128767/1622234375 |
j-invariant |
L |
6.0861433429044 |
L(r)(E,1)/r! |
Ω |
0.53196618802028 |
Real period |
R |
1.9068077006935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11515g1 103635bh1 |
Quadratic twists by: -3 -7 |