Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410d |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-5041212730200000000 = -1 · 29 · 36 · 58 · 193 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 2 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61875,108203125] |
[a1,a2,a3,a4,a6] |
Generators |
[5625:418750:1] |
Generators of the group modulo torsion |
j |
-35937326700990001/6915243800000000 |
j-invariant |
L |
3.262149275699 |
L(r)(E,1)/r! |
Ω |
0.19813628710888 |
Real period |
R |
1.3720141074018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997010553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13490e1 |
Quadratic twists by: -3 |