Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950bz |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-34446390739200 = -1 · 28 · 37 · 52 · 113 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3808,296192] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4124:1] |
Generators of the group modulo torsion |
j |
-244276478503465/1377855629568 |
j-invariant |
L |
10.838311696978 |
L(r)(E,1)/r! |
Ω |
0.56530189485661 |
Real period |
R |
0.057061333671387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950l1 |
Quadratic twists by: 5 |