Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600bl |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-4144000000000 = -1 · 213 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,107188] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-250:1] |
Generators of the group modulo torsion |
j |
-24137569/64750 |
j-invariant |
L |
4.0746277285925 |
L(r)(E,1)/r! |
Ω |
0.68841256066277 |
Real period |
R |
0.73985934593193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950e1 20720k1 |
Quadratic twists by: -4 5 |