Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
124630be |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-4970443808000000000 = -1 · 214 · 59 · 114 · 1032 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-216290,-114128145] |
[a1,a2,a3,a4,a6] |
Generators |
[5913:-456157:1] |
Generators of the group modulo torsion |
j |
-76429746458465521/339488000000000 |
j-invariant |
L |
7.088834758731 |
L(r)(E,1)/r! |
Ω |
0.10050741965673 |
Real period |
R |
0.093294263879429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998107891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630m1 |
Quadratic twists by: -11 |