Atkin-Lehner |
3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30303c |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
9786626577 = 33 · 73 · 134 · 37 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-624,-3501] |
[a1,a2,a3,a4,a6] |
j |
996105067803/362467651 |
j-invariant |
L |
1.9683945554627 |
L(r)(E,1)/r! |
Ω |
0.98419727773194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30303d1 |
Quadratic twists by: -3 |