Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cx |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
13428610781250000 = 24 · 3 · 510 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68783,4161312] |
[a1,a2,a3,a4,a6] |
Generators |
[8212:743750:1] [-119:3263:1] |
Generators of the group modulo torsion |
j |
143957189392384/53714443125 |
j-invariant |
L |
9.0907902858373 |
L(r)(E,1)/r! |
Ω |
0.36335908877276 |
Real period |
R |
1.0424479262578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280o1 |
Quadratic twists by: 5 |