Atkin-Lehner |
2- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300j |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-158804000000 = -1 · 28 · 56 · 29 · 372 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 5 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6175,187750] |
[a1,a2,a3,a4,a6] |
Generators |
[51:74:1] |
Generators of the group modulo torsion |
j |
-6509904336/39701 |
j-invariant |
L |
4.7266221535624 |
L(r)(E,1)/r! |
Ω |
1.0292400968541 |
Real period |
R |
0.76539026650005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4292c1 |
Quadratic twists by: 5 |