Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bq |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-37888143261696 = -1 · 217 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-296127] |
[a1,a2,a3,a4,a6] |
Generators |
[369:7056:1] |
Generators of the group modulo torsion |
j |
-2/2457 |
j-invariant |
L |
5.152603603549 |
L(r)(E,1)/r! |
Ω |
0.29702406808448 |
Real period |
R |
2.1684284973495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999504802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304hx1 15288bb1 17472bg1 |
Quadratic twists by: -4 8 -7 |