Atkin-Lehner |
3+ 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005c |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5519521726875 = -1 · 33 · 54 · 133 · 533 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3702,72528] |
[a1,a2,a3,a4,a6] |
Generators |
[18:2271:8] |
Generators of the group modulo torsion |
j |
207811315335168/204426730625 |
j-invariant |
L |
4.7530631587528 |
L(r)(E,1)/r! |
Ω |
0.50110033569845 |
Real period |
R |
2.3713130984674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31005f2 |
Quadratic twists by: -3 |