Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450co |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
693210656250000 = 24 · 39 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34130,-2061503] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:511:1] |
Generators of the group modulo torsion |
j |
14295828483/2254000 |
j-invariant |
L |
9.8102236290142 |
L(r)(E,1)/r! |
Ω |
0.35498513318732 |
Real period |
R |
3.4544487611455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450d1 14490d1 |
Quadratic twists by: -3 5 |