Atkin-Lehner |
2+ 3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950m |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-421443000000000 = -1 · 29 · 34 · 59 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 7 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-135450,19156500] |
[a1,a2,a3,a4,a6] |
Generators |
[185:-780:1] |
Generators of the group modulo torsion |
j |
-140713482366197/215778816 |
j-invariant |
L |
5.1699767419601 |
L(r)(E,1)/r! |
Ω |
0.53025735775774 |
Real period |
R |
1.2187423395276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950ce1 |
Quadratic twists by: 5 |