Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100100d |
Isogeny class |
Conductor |
100100 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-147541269075200 = -1 · 28 · 52 · 7 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7028,-629212] |
[a1,a2,a3,a4,a6] |
Generators |
[1064:34606:1] |
Generators of the group modulo torsion |
j |
-5999302905040/23053323293 |
j-invariant |
L |
7.0852776646292 |
L(r)(E,1)/r! |
Ω |
0.23834415642696 |
Real period |
R |
0.70778780476952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100100p1 |
Quadratic twists by: 5 |