Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807x |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2204160 |
Modular degree for the optimal curve |
Δ |
-5066104126101562467 = -1 · 35 · 710 · 114 · 712 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3057273,-2061412720] |
[a1,a2,a3,a4,a6] |
Generators |
[2538:80833:1] |
Generators of the group modulo torsion |
j |
-11187836649472000/17934683283 |
j-invariant |
L |
6.680985744568 |
L(r)(E,1)/r! |
Ω |
0.057081353502846 |
Real period |
R |
2.9260806395385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807d1 |
Quadratic twists by: -7 |