Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810h |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
31968 |
Modular degree for the optimal curve |
Δ |
4024235250 = 2 · 33 · 53 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1663,25243] |
[a1,a2,a3,a4,a6] |
Generators |
[21:1:1] |
Generators of the group modulo torsion |
j |
10389923853001/82127250 |
j-invariant |
L |
2.7522152542732 |
L(r)(E,1)/r! |
Ω |
1.3977125567729 |
Real period |
R |
0.65636176788437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430eu1 33810bi1 |
Quadratic twists by: -3 -7 |