Atkin-Lehner |
2+ 3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290a |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1263360 |
Modular degree for the optimal curve |
Δ |
13527732240000000 = 210 · 39 · 57 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3116949,2118853493] |
[a1,a2,a3,a4,a6] |
Generators |
[1007:184:1] |
Generators of the group modulo torsion |
j |
170145938657034875907/687280000000 |
j-invariant |
L |
4.9902100437911 |
L(r)(E,1)/r! |
Ω |
0.34950693543284 |
Real period |
R |
1.0198469282973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70290l1 |
Quadratic twists by: -3 |