Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232n |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-56186130954672 = -1 · 24 · 39 · 194 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9072,139455] |
[a1,a2,a3,a4,a6] |
Generators |
[1150632280:19124459101:21952000] |
Generators of the group modulo torsion |
j |
262193283072/178409449 |
j-invariant |
L |
9.0230532822118 |
L(r)(E,1)/r! |
Ω |
0.39551221940472 |
Real period |
R |
11.406794594882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25308a1 101232o1 |
Quadratic twists by: -4 -3 |