Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760cd |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2519040 |
Modular degree for the optimal curve |
Δ |
-293858767192320000 = -1 · 211 · 36 · 54 · 11 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4219227,-3335882346] |
[a1,a2,a3,a4,a6] |
Generators |
[92985615769578:672824539296405:38820476456] |
Generators of the group modulo torsion |
j |
-5563715398863351858/196825413125 |
j-invariant |
L |
9.3257182734872 |
L(r)(E,1)/r! |
Ω |
0.052669647804807 |
Real period |
R |
22.132572226532 |
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 |
13640b1 |
Quadratic twists by: -3 |