Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690h |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77362560 |
Modular degree for the optimal curve |
Δ |
-4.6064420389312E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- -5 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3695985860,86486482858320] |
[a1,a2,a3,a4,a6] |
Generators |
[-59617:9773394:1] |
Generators of the group modulo torsion |
j |
-3151798934450475394062697329/260021644128040960 |
j-invariant |
L |
0.71125006762009 |
L(r)(E,1)/r! |
Ω |
0.071551083056337 |
Real period |
R |
2.4851129118916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998055195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790o1 |
Quadratic twists by: -11 |