Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025n |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-304003177734375 = -1 · 33 · 59 · 78 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12633,-639584] |
[a1,a2,a3,a4,a6] |
Generators |
[404976:5983076:2197] |
Generators of the group modulo torsion |
j |
35937/49 |
j-invariant |
L |
5.0686799721669 |
L(r)(E,1)/r! |
Ω |
0.29032169957484 |
Real period |
R |
8.7294197774222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11025p1 11025o1 1575a1 |
Quadratic twists by: -3 5 -7 |