Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bb |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-302656921875 = -1 · 33 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1050,29531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:137:1] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
6.0834686783148 |
L(r)(E,1)/r! |
Ω |
0.8594155583438 |
Real period |
R |
0.44241320333038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275p1 4851e1 121275h1 |
Quadratic twists by: -3 5 -7 |