Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562n |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32901120 |
Modular degree for the optimal curve |
Δ |
2.8584976865129E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-402404907,3096312438550] |
[a1,a2,a3,a4,a6] |
Generators |
[681685822249753552:-32080938099145962382:44727533708473] |
Generators of the group modulo torsion |
j |
298552000881189161456713/1184252517937053696 |
j-invariant |
L |
4.9865014278498 |
L(r)(E,1)/r! |
Ω |
0.066725267253185 |
Real period |
R |
24.910610489336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386b1 |
Quadratic twists by: 17 |