Atkin-Lehner |
2- 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dq |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-939262500000 = -1 · 25 · 33 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13430,604197] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:843:1] [119:765:1] |
Generators of the group modulo torsion |
j |
-25397889795/89056 |
j-invariant |
L |
15.899792775718 |
L(r)(E,1)/r! |
Ω |
0.88659071504652 |
Real period |
R |
0.29889388846524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850r1 113850d1 |
Quadratic twists by: -3 5 |