Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312bi |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
12 |
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 |
[396:7992:1] |
Generators of the group modulo torsion |
j |
22425768/50653 |
j-invariant |
L |
5.4482363686001 |
L(r)(E,1)/r! |
Ω |
0.34050937969373 |
Real period |
R |
1.3333544520615 |
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 |
21312bh1 10656j1 21312bm1 |
Quadratic twists by: -4 8 -3 |