Atkin-Lehner |
3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739g |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-29825517843 = -1 · 33 · 115 · 193 |
Discriminant |
Eigenvalues |
0 3+ -2 2 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-456,9115] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:104:1] [2:755:8] |
Generators of the group modulo torsion |
j |
-56623104/161051 |
j-invariant |
L |
7.0812673238221 |
L(r)(E,1)/r! |
Ω |
1.0367318332788 |
Real period |
R |
0.34151875617755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35739b1 35739f1 |
Quadratic twists by: -3 -19 |