Atkin-Lehner |
2+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354o |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47416320 |
Modular degree for the optimal curve |
Δ |
4.0999551039455E+28 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1890556687,30102428517186] |
[a1,a2,a3,a4,a6] |
Generators |
[3566167090193784471:-1403546419935706029852:383812633485217] |
Generators of the group modulo torsion |
j |
6351913619433319093891405273/348490433743210894327808 |
j-invariant |
L |
1.6188827277259 |
L(r)(E,1)/r! |
Ω |
0.035716977972768 |
Real period |
R |
22.662649804223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622b1 |
Quadratic twists by: -7 |