Atkin-Lehner |
2+ 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350g |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-828281250 = -1 · 2 · 32 · 57 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 2 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,1375] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] [-10:305:8] |
Generators of the group modulo torsion |
j |
-117649/53010 |
j-invariant |
L |
6.8424689136034 |
L(r)(E,1)/r! |
Ω |
1.286502805561 |
Real period |
R |
0.66483229608201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670t1 |
Quadratic twists by: 5 |