Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34104p |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-2814902335945728 = -1 · 210 · 34 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17264,2692080] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1392:1] |
Generators of the group modulo torsion |
j |
-13771804/68121 |
j-invariant |
L |
5.6562776890232 |
L(r)(E,1)/r! |
Ω |
0.3930030625776 |
Real period |
R |
1.7990564920554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208g1 102312br1 34104c1 |
Quadratic twists by: -4 -3 -7 |