Atkin-Lehner |
2+ 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050d |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
29859840 |
Modular degree for the optimal curve |
Δ |
6.4390512124011E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105114625,151647227125] |
[a1,a2,a3,a4,a6] |
Generators |
[-127020:38058935:64] |
Generators of the group modulo torsion |
j |
8220403366280885623591441/4120992775936699269120 |
j-invariant |
L |
3.0746975156456 |
L(r)(E,1)/r! |
Ω |
0.054936555325541 |
Real period |
R |
6.9960190754192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010z1 |
Quadratic twists by: 5 |