Atkin-Lehner |
2+ 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570l |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-4786843687500000 = -1 · 25 · 3 · 59 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24182,3619764] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-3174:1] |
Generators of the group modulo torsion |
j |
-13293525831769/40687500000 |
j-invariant |
L |
3.9430571309401 |
L(r)(E,1)/r! |
Ω |
0.38101967397902 |
Real period |
R |
0.574927607305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510f1 |
Quadratic twists by: -7 |