Atkin-Lehner |
3+ 7- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33411c |
Isogeny class |
Conductor |
33411 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-24356619 = -1 · 37 · 7 · 37 · 43 |
Discriminant |
Eigenvalues |
0 3+ 3 7- -4 -3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-89,-373] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16366:1] |
Generators of the group modulo torsion |
j |
-78843215872/24356619 |
j-invariant |
L |
4.9510970952731 |
L(r)(E,1)/r! |
Ω |
0.76435475678352 |
Real period |
R |
6.4774858157594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100233m1 |
Quadratic twists by: -3 |