Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310bb |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1308951103219200000 = -1 · 212 · 35 · 55 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1666859,-830282218] |
[a1,a2,a3,a4,a6] |
Generators |
[2895:134968:1] |
Generators of the group modulo torsion |
j |
-88845535718257129/227059200000 |
j-invariant |
L |
5.2749377146603 |
L(r)(E,1)/r! |
Ω |
0.066424514224554 |
Real period |
R |
2.6470838368432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999534421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310v1 |
Quadratic twists by: -7 |