Atkin-Lehner |
2+ 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240c |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2977409648640 = -1 · 211 · 3 · 5 · 7 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3240,-44148] |
[a1,a2,a3,a4,a6] |
Generators |
[157:2076:1] |
Generators of the group modulo torsion |
j |
1836093283918/1453813305 |
j-invariant |
L |
4.669075755075 |
L(r)(E,1)/r! |
Ω |
0.44575414886202 |
Real period |
R |
5.23727683413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480s3 |
Quadratic twists by: -4 |