Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bf |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-17395281815625000 = -1 · 23 · 311 · 58 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -3 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25924,-6136702] |
[a1,a2,a3,a4,a6] |
Generators |
[396:-8339:1] |
Generators of the group modulo torsion |
j |
4932803294375/44531921448 |
j-invariant |
L |
4.9393379332533 |
L(r)(E,1)/r! |
Ω |
0.19257141924805 |
Real period |
R |
1.1658810090433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350ch1 |
Quadratic twists by: 5 |