Atkin-Lehner |
2- 3+ 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946o |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-103493376 = -1 · 28 · 34 · 7 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,56,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] [9:25:1] |
Generators of the group modulo torsion |
j |
19400056703/103493376 |
j-invariant |
L |
8.9485648101135 |
L(r)(E,1)/r! |
Ω |
0.94725676234458 |
Real period |
R |
2.3617051801153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89838g1 |
Quadratic twists by: -3 |