Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850ey |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1386562784062500000 = -1 · 25 · 313 · 510 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-745430,-253927803] |
[a1,a2,a3,a4,a6] |
Generators |
[3623:209355:1] |
Generators of the group modulo torsion |
j |
-6434520597025/194765472 |
j-invariant |
L |
11.514955540638 |
L(r)(E,1)/r! |
Ω |
0.081094956232443 |
Real period |
R |
3.5498371454009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950a1 113850ct1 |
Quadratic twists by: -3 5 |