Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450bu |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-21410156250 = -1 · 2 · 33 · 59 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,7031] |
[a1,a2,a3,a4,a6] |
j |
-47045881/1370250 |
j-invariant |
L |
2.0219157382612 |
L(r)(E,1)/r! |
Ω |
1.0109578691315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350bm1 6090p1 |
Quadratic twists by: -3 5 |