Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424bt |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-17808408576 = -1 · 214 · 37 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-247345,47430673] |
[a1,a2,a3,a4,a6] |
Generators |
[7761:28:27] |
Generators of the group modulo torsion |
j |
-102144487949235664/1086939 |
j-invariant |
L |
5.8088909004274 |
L(r)(E,1)/r! |
Ω |
0.86086531541267 |
Real period |
R |
3.3738674387523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424t1 23856j1 |
Quadratic twists by: -4 8 |