Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bz |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-8131898880000 = -1 · 212 · 33 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3267,-117963] |
[a1,a2,a3,a4,a6] |
Generators |
[8695:83012:125] |
Generators of the group modulo torsion |
j |
12800/27 |
j-invariant |
L |
5.2777489466211 |
L(r)(E,1)/r! |
Ω |
0.38355316013141 |
Real period |
R |
6.8800748770685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ia1 117600hf1 2400n1 |
Quadratic twists by: -4 5 -7 |