Atkin-Lehner |
2+ 3+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130p |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1052835840 |
Modular degree for the optimal curve |
Δ |
7.3270002966084E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57839055537,3421213965752661] |
[a1,a2,a3,a4,a6] |
Generators |
[4823731687836322934:3196464659602129828293:9002806321627] |
Generators of the group modulo torsion |
j |
181885907005643457401792138957449/62278474926335176212480000000 |
j-invariant |
L |
3.6700353025159 |
L(r)(E,1)/r! |
Ω |
0.012164545208637 |
Real period |
R |
21.549952949772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590g1 |
Quadratic twists by: -7 |