Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1400m |
Isogeny class |
Conductor |
1400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-39200000000 = -1 · 211 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 -6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4208,-106912] |
[a1,a2,a3,a4,a6] |
Generators |
[83:350:1] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
2.9784958989321 |
L(r)(E,1)/r! |
Ω |
0.29629100695642 |
Real period |
R |
1.6754338521937 |
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 |
2800l1 11200be1 12600z1 1400b1 |
Quadratic twists by: -4 8 -3 5 |