Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312bh |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-32669794271232 = -1 · 215 · 39 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -3 -3 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5076,237168] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:296:1] |
Generators of the group modulo torsion |
j |
22425768/50653 |
j-invariant |
L |
6.6147708828478 |
L(r)(E,1)/r! |
Ω |
0.45657699582901 |
Real period |
R |
0.60365602290487 |
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 |
21312bi1 10656i1 21312bl1 |
Quadratic twists by: -4 8 -3 |