Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310d |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-2630249632235520 = -1 · 224 · 312 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28035,1673541] |
[a1,a2,a3,a4,a6] |
Generators |
[50085:996192:343] |
Generators of the group modulo torsion |
j |
3342636501165359/3608024186880 |
j-invariant |
L |
2.5542022277382 |
L(r)(E,1)/r! |
Ω |
0.30214312608946 |
Real period |
R |
8.4536168695824 |
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 |
42480bf1 1770h1 26550bt1 |
Quadratic twists by: -4 -3 5 |