Atkin-Lehner |
3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94017n |
Isogeny class |
Conductor |
94017 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
3478629 = 3 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- 11- -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40,54] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] [-6:69:8] |
Generators of the group modulo torsion |
j |
59969536/28749 |
j-invariant |
L |
5.3719322103315 |
L(r)(E,1)/r! |
Ω |
2.2296824657958 |
Real period |
R |
1.2046406367446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94017g1 |
Quadratic twists by: -11 |