Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107219j |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-137164318562383 = -1 · 7 · 178 · 532 |
Discriminant |
Eigenvalues |
1 2 0 7- -4 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7075,-511888] |
[a1,a2,a3,a4,a6] |
Generators |
[3119540649203265205921559592:32961592779150940678250888767:30806468535013445882939904] |
Generators of the group modulo torsion |
j |
1622234375/5682607 |
j-invariant |
L |
12.288723801951 |
L(r)(E,1)/r! |
Ω |
0.29678374040814 |
Real period |
R |
41.406324291228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6307b1 |
Quadratic twists by: 17 |