Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30525k |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-103880390625 = -1 · 33 · 57 · 113 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,18906] |
[a1,a2,a3,a4,a6] |
Generators |
[0:137:1] |
Generators of the group modulo torsion |
j |
-6321363049/6648345 |
j-invariant |
L |
2.909479569013 |
L(r)(E,1)/r! |
Ω |
0.96414473025543 |
Real period |
R |
0.50294654556033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575x1 6105i1 |
Quadratic twists by: -3 5 |