Atkin-Lehner |
7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35819b |
Isogeny class |
Conductor |
35819 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137760 |
Modular degree for the optimal curve |
Δ |
-15134421955841993 = -1 · 78 · 175 · 432 |
Discriminant |
Eigenvalues |
-1 -1 0 7+ 5 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42482,-4848012] |
[a1,a2,a3,a4,a6] |
Generators |
[12880:93236:125] |
Generators of the group modulo torsion |
j |
1470799985375/2625315593 |
j-invariant |
L |
2.8649076632889 |
L(r)(E,1)/r! |
Ω |
0.20649180786984 |
Real period |
R |
6.93709763318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35819h1 |
Quadratic twists by: -7 |