Atkin-Lehner |
3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525i |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-6.4160212818604E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-610500,426628125] |
[a1,a2,a3,a4,a6] |
j |
-1610503980214409281/4106253620390625 |
j-invariant |
L |
0.69408626324771 |
L(r)(E,1)/r! |
Ω |
0.17352156581242 |
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 |
91575u1 6105k1 |
Quadratic twists by: -3 5 |