Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696g |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-193602081835008 = -1 · 211 · 32 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13936,212640] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:396:1] |
Generators of the group modulo torsion |
j |
146142660369886/94532266521 |
j-invariant |
L |
2.7369092524238 |
L(r)(E,1)/r! |
Ω |
0.35349927929381 |
Real period |
R |
0.96779166632651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1848j6 14784cl6 11088v6 92400by5 |
Quadratic twists by: -4 8 -3 5 |