Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430z |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
108380160 |
Modular degree for the optimal curve |
Δ |
3.3147621424153E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6715259595,-211788189256379] |
[a1,a2,a3,a4,a6] |
Generators |
[-5316882781447830823811858:2331506076999949782769033:111538938239518123781] |
Generators of the group modulo torsion |
j |
1138419279070642590770503/112678869663744000 |
j-invariant |
L |
4.0406985816662 |
L(r)(E,1)/r! |
Ω |
0.016677710561484 |
Real period |
R |
30.285171547869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999470988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810co1 101430ce1 |
Quadratic twists by: -3 -7 |