Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635v |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-6164663203125 = -1 · 36 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2813,133242] |
[a1,a2,a3,a4,a6] |
j |
-68891327449/172578125 |
j-invariant |
L |
1.334729286831 |
L(r)(E,1)/r! |
Ω |
0.66736466085561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515i1 103635bd1 |
Quadratic twists by: -3 -7 |