Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325p |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
9740317078125 = 313 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13183,558544] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-338:1] |
Generators of the group modulo torsion |
j |
16217331171328/623380293 |
j-invariant |
L |
4.1985679022414 |
L(r)(E,1)/r! |
Ω |
0.72053391600487 |
Real period |
R |
0.2241162799814 |
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 |
87975s1 1173b1 |
Quadratic twists by: -3 5 |