Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635bd |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
917280 |
Modular degree for the optimal curve |
Δ |
-725266461184453125 = -1 · 36 · 57 · 78 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137822,-45426454] |
[a1,a2,a3,a4,a6] |
Generators |
[1186:37594:1] |
Generators of the group modulo torsion |
j |
-68891327449/172578125 |
j-invariant |
L |
4.1872138470024 |
L(r)(E,1)/r! |
Ω |
0.11538888940431 |
Real period |
R |
2.5919887541888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515a1 103635v1 |
Quadratic twists by: -3 -7 |