Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bd |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-33607613340 = -1 · 22 · 33 · 5 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-614,10532] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-77:1] |
Generators of the group modulo torsion |
j |
-217081801/285660 |
j-invariant |
L |
4.9184342777571 |
L(r)(E,1)/r! |
Ω |
1.0514371751594 |
Real period |
R |
0.77963673499424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fk1 690d1 |
Quadratic twists by: -3 -7 |