Atkin-Lehner |
2+ 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150p |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-143149473437500 = -1 · 22 · 58 · 195 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242,-575584] |
[a1,a2,a3,a4,a6] |
Generators |
[94:428:1] [3302:65049:8] |
Generators of the group modulo torsion |
j |
-4021785/366462652 |
j-invariant |
L |
6.1218431585959 |
L(r)(E,1)/r! |
Ω |
0.26532532328505 |
Real period |
R |
0.76909899173352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35150r1 |
Quadratic twists by: 5 |