Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808i |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-7577914566651061248 = -1 · 210 · 39 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,453789,60807726] |
[a1,a2,a3,a4,a6] |
j |
1815156/1331 |
j-invariant |
L |
0.59787077587448 |
L(r)(E,1)/r! |
Ω |
0.14946769396554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616ba1 38808bw1 38808a1 |
Quadratic twists by: -4 -3 -7 |