Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635t |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
7777325456105625 = 38 · 54 · 79 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1336680,-594475925] |
[a1,a2,a3,a4,a6] |
j |
3079572809565169/90680625 |
j-invariant |
L |
2.2465362343142 |
L(r)(E,1)/r! |
Ω |
0.14040851438673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34545l1 14805i1 |
Quadratic twists by: -3 -7 |