Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550v |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-12576801907084800 = -1 · 29 · 3 · 52 · 75 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57151,7529618] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1897:1] |
Generators of the group modulo torsion |
j |
-825741822267180625/503072076283392 |
j-invariant |
L |
3.9389004939518 |
L(r)(E,1)/r! |
Ω |
0.37020652922605 |
Real period |
R |
1.5199625780262 |
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 |
92400dz1 34650cs1 11550bz1 80850q1 |
Quadratic twists by: -4 -3 5 -7 |