Atkin-Lehner |
2- 3+ 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
38346h |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-9943424568 = -1 · 23 · 34 · 75 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,297,-4251] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
2896687631375/9943424568 |
j-invariant |
L |
6.9201323768491 |
L(r)(E,1)/r! |
Ω |
0.65726546970656 |
Real period |
R |
1.7547786234022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115038l1 |
Quadratic twists by: -3 |