Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350h |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147295312500 = 22 · 3 · 58 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11025,440625] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:850:1] |
Generators of the group modulo torsion |
j |
9486391169809/9426900 |
j-invariant |
L |
4.0244604883377 |
L(r)(E,1)/r! |
Ω |
1.0249135257208 |
Real period |
R |
0.98165854663261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070j2 |
Quadratic twists by: 5 |