Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800n |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-105043750000 = -1 · 24 · 58 · 75 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -1 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,16963] |
[a1,a2,a3,a4,a6] |
Generators |
[33:175:1] |
Generators of the group modulo torsion |
j |
-6288640/16807 |
j-invariant |
L |
2.4270046171642 |
L(r)(E,1)/r! |
Ω |
0.93519215910926 |
Real period |
R |
0.17301290032741 |
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 |
1400d1 11200dg1 25200ce1 2800d1 |
Quadratic twists by: -4 8 -3 5 |