Atkin-Lehner |
2- 3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970bw |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
700 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-1.2274489801851E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1197967,-1608595423] |
[a1,a2,a3,a4,a6] |
Generators |
[855:5908:1] [2263:-113772:1] |
Generators of the group modulo torsion |
j |
260814113169681946679/1683743457044070400 |
j-invariant |
L |
15.586494593495 |
L(r)(E,1)/r! |
Ω |
0.076645444900051 |
Real period |
R |
0.2905119916475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330g1 |
Quadratic twists by: -3 |